arch, as shown in the picture. The river is 18 m wide and the arch will be anchored on the ground, 3m back from the riverbank on both sides. The maximum height of the arch must be between 22m and 26m above the surface of the river. Create an equation to represent an arch that could meet these conditions
m/s. After landing on the trampoline, which has a “spring” constant of 17 kN/m, the trampoline deflects downward 0.7 m, and the man bounces up and to the left.
a) How much farther to the left does he travel after bouncing off the trampoline?
b) What is the maximum height he will reach after the bounce?
c) What will his velocity be upon landing?
ight of the church, not including the steeple is 20 feet. The line of sight between the dog and the top of the steeple is 29 feet. What is the height of the steeple? Round your answer to the nearest tenth
slanted upward by 48 degrees above the horizontal at its end, which is 0.40 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.
as the drawing illustrates. The crest of the second hill is circular, with a radius of 28.6m. Neglect friction and air resistance. What must be the height of the first hill so that the skier just loses contact with the snow at the crest of the second hill?
e difference between reported height and actual height was calculated.
You're testing the claim that the mean difference is greater than 0.6.
From the sample, the mean difference was 0.7, with a standard deviation of 0.74.
Calculate the test statistic, rounded to two decimal places
g and 30 cm each, respectively. Both M1 and M2 rest on frictionless surfaces and the system starts from rest.
(a) Draw the fbd for each of M1, M2 and the pulley.
(b) Write the equations of motion for each of M1, M2 and the pulley.
(c) Calculate the linear acceleration of the two masses, as well as the angular acceleration of the pulley.
(d) Calculate the angular velocity of the pulley after M1 and M2 have been displaced linearly by 2 m.
Q2) (10 points) A basketball is thrown with an initial speed v0 of 10.8 m/s at 400 above horizontal, and it enters the hoop from above. The ball is released at 2.00 m above the ground. The hoop is 3.05 m above the ground and 10.0 m away from the player.
(a) Find the time at which the ball passes through the hoop.
(b) Find the ball’s velocity (express in component form) just when it enters the hoop.
(c) Find the ball’s maximum height.
Q3) (5 Points) An object is thrown up from the top of a building of height of 400 m with an initial velocity of 20 m/s.
(a) Find the position and the velocity of the object 5 s later.
(b) With what velocity will it hit the ground?
(c) At the same time the first object is thrown up, a second object is thrown up from the ground at 100 m/s. Will the two objects collide? If yes, calculate when and where,
is measured in seconds and height is measured in metres. Answer each of the following algebraically.
at what time does the rock hit the ground?
for what length of time is the rock above a height of 8 metres?
a) Calculate the work done to compress the spring. (2 marks)
b) What happens to the work done on the spring ? (1 mark)
c) If the spring is released, what happens to the energy of the spring? (1 mark)
d) Calculate the total mechanical energy of the ball at the instant it leaves the spring. (2 marks)
e) What will be the speed of the ball at the instant it leaves the spring? (2 marks)
f) If the ball is fired up into the air by the spring, how much gravitational potential energy will it gain? (1 mark)
g) What will be the maximum height of the ball? (2 marks
ndard dev is 2.4 inches. Are you more likely to randomly select 1 woman with a height less than 65 inches or are you more likely to select a sample of women with a mean height less than 65 inches? Explain.
have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed.
Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please?
Table Is at this link https://ibb.co/fGrxSvf . Thanks for any help!
hin a free demo session as I have my answers, but just want to confirm them, that would be greatly appreciated.
A block of mass M = 0.10 kg is attached to one end of a spring with spring constant k = 100 N/m . The other end of the spring is attached to a fixed wall. The block is pushed against the spring, compressing it a distance x = 0.04 m . The block is then released from rest, and the block-spring system travels along a horizontal, rough track. Data collected from a motion detector are used to create a graph of the kinetic energy K and spring potential energy Us of the system as a function of the block's position as the spring expands. How can the student determine the amount of mechanical energy dissipated by friction as the spring expanded to its natural spring length?
The Atwood’s machine shown consists of two blocks connected by a light string that passes over a pulley of negligible mass and negligible friction. The blocks are released from rest, and m2 is greater than m1. Assume that the reference line of zero gravitational potential energy is the floor. Which of the following best represents the total gravitational potential energy U and total kinetic energy K of the block-block-Earth system as a function of the height h of block m1?
A 2 kg block is placed at the top of an incline and released from rest near Earth’s surface and unknown distance H above the ground. The angle θ between the ground and the incline is also unknown. Frictional forces between the block and the incline are considered to be negligible. The block eventually slides to the bottom of the incline after 0.75 s. The block’s velocity v as a function of time t is shown in the graph starting from the instant it is released. How could a student use the graph to determine the total energy of the block-Earth system?
A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?
nd standard deviation 6 inches.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the probability that an 18-year-old man selected at random is between 64 and 66 inches tall? (Round your answer to four decimal places.)
Correct: Your answer is correct.
(b) If a random sample of seven 18-year-old men is selected, what is the probability that the mean height x is between 64 and 66 inches? (Round your answer to four decimal places.)
Incorrect: Your answer is incorrect.
(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?
The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
The probability in part (b) is much higher because the standard deviation is larger for the x distribution.
The probability in part (b) is much higher because the mean is smaller for the x distribution.
The probability in part (b) is much higher because the mean is larger for the x distribution.
The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.
bottom of the roof lie on the x-axis. The equation of the function describing the cross-section is h(x)=-|6x|+7, where h is the height of the roof, in metres, and x is the horizontal distance from the centre of the roof, in metres. To the nearest tenth of a metre, what is the width of the bottom of the roof?
mediately guess it’s moment of inertia. To investigate whether it behaves more like a solid sphere or hollow sphere, you roll it down a rough ramp inclined at an angle of 30° with respect to the horizontal. The sphere rolls without slipping and you measure the velocity of the center of mass to be 3 m/s as it leaves the bottom of the ramp. The ramp’s length is 2 m and you release the sphere from the top of the ramp, a height of 1 m.
a) What is the moment of inertia of the sphere?
b) What is the angular speed of the sphere as it reaches the bottom of the ramp?
c) What is the frictional force on the sphere?
dii and height h. Olle, who is not completely sober, stands and talks nonsense with the nursing student Berit and without noticing it he tilts the glass so that beer flows out . At a certain slope, only half of the bottom surface of the glass is covered with beer. Then Olle notices what's going on and straightens the glass again. How much beer does he have left in the glass?
e base. Where the height of the arch is 20 feet high , its width is 30 feet. Is it possible for a sailboat with a 31- foot tall mast to pass under the bridge? a diagram it as well (ie - show where the x and y axis are and some of the critical points . write a let statement too
ond. The function s(t)=-16t^2 +64t +93 describes the ball's height above the ground, s(t), in feet, t seconds after it is thrown. The ball misses the rooftop on its way down and eventually strikes the ground. What is its instantaneous velocity as it passes the rooftop on the way down?
Bedroom. The pail has an exterior diameter of 350 mm and interior 300 mm on the top while 200 mm
exterior diameter x 150 mm interior diameter on its bottom. The pail has a height of 500 mm. Calculate
the capacity of concrete the pail can hold and how many pails of concrete are needed to fill the
concrete slab of the master’s bedroom?
2.) An Infinity pool that has a dimension of 10518 mm x 17880 mm x 1524 mm will be excavated; the
height of the pool is ¼ above ground. If one small truck can hold 100 cu.ft of soil, how many truckloads
of soil will be excavated?
evation from a seagull on the water to the top of the lighthouse is 38o. If the distance between
the seagull and the raft is 7m, then what is the height of the lighthouse? Use the sine law to answer
rts to the fireworks platforms: one part is on the ground and the
other part is on top of a building. You are going to graph all of your results on one
coordinate plane. Make sure to label each graph with its equation. Use the following
equations to assist with this assignment.
• The function for objects dropped from a height where t is the time in
seconds, h is the height in feet at time it t, and 0 h is the initial height is
0 ht t h ( ) 16 =− + .
• The function for objects that are launched where t is the time in seconds, h is
the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity
in feet per second is 2
0 0 ht t vt h ( ) 16 =− + + .
Select the link below to access centimeter grid paper for your portfolio.
Centimeter Grid Paper
First, conduct some research to help you with later portions of this portfolio
• Find a local building and estimate its height. How tall do you think the
• Use the Internet to find some initial velocities for different types of fireworks.
What are some of the initial velocities that you found?
Respond to the following items.
1. While setting up a fireworks display, you have a tool at the top of the
building and need to drop it to a coworker below.
a. How long will it take the tool to fall to the ground? (Hint: use the first
equation that you were given above, 2
0 ht t h ( ) 16 =− + . For the building’s
height, use the height of the building that you estimated in Task 1.)
b. Draw a graph that represents the path of this tool falling to the
ground. Be sure to label your axes with a title and a scale. Your graph
should show the height of the tool, h, after t seconds have passed.
Label this line “Tool”.
ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?
A. - 20 m/s
B. 0 m/s
C. + 17.3 m/s
D. + 10 m/s
E. + 20 m/s
2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop?
A. - 112.5 m/s^2
B. - 7.5 m/s^2
C. - 30 m/s^2
D. + 112.5 m/s^2
E. + 30 m/s^2
F. + 7.5 m/s^2
3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? *
A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground.
D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.
b the link is https://phet.colorado.edu/sims/html/projectile-motion/latest/projectile-motion_en.html
and these are the questions
2: Raise the cannon to a height of 15 meters. Set the horizontal velocity to 12 m/sa) Sketch the situationb) Predict the distance you have to place the target from the base of the cannon (calculate this & show all work).
c)Perform the experiment by placing the target at the predicted range and clicking the cannon button. Compare your predicted value to the outcome of the testing experiment. Do they agree or disagree? (Did you hit the target?)
3: Raise the cannon to a height of 5 meters. Measure the distance of the David statue from the base of the cannona) Sketch the situation.b) Predict the velocity with which you have to launch the object in order for it to hit the statue (calculate this & show all work).c)Perform the experiment by entering the predicted velocity and clicking Fire. Compare your predicted value to the outcome of the testing experiment. Do they agree or disagree? (Did you hit the statue?) If they disagree, look at your math again!
4: Set the initial velocity of the object to 20 m/s. Place the target at a range (distance) 20 m.a) Sketch the situation.d) Predict the height from which you have to launch the object in order for it to land on the target (calculate this & show all work).b) Perform the experiment by raising the cannon to the predicted height and clicking Fire! Compare your predicted value to the outcome of the testing experiment. Do they agree or disagree? (Did you hit the target?) If they disagree, look at your math again!
eet after t seconds is given by y=75t-16t^2. Find the average velocity for the time period beginning when t = 2 and lasting.
1) 0.1 seconds
2) 0.01 seconds
3) 0.001 seconds
Finally based on the above results, guess what the instantaneous velocity of the ball is when t=2.
is the time in seconds, and h(t) is the height of the ball
a. How long does it takes for the golf ball to be 30 feet above ground?
b. How long does it take for the golf ball to hit the ground after it has been hit by Jennifer?
c. What is the golf ball's height 4 seconds after it was hit?
't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' =
cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)
is launched from a height of 6 feet with an initial upward velocity of 64 feet per second. The T-shirt is caught 41 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time?
for a quilt. I'm having trouble with pieces 2 and 8. As the height of the trapezoid increases, I need to know the point where the trapezoid becomes an equilateral triangle (because it cannot go beyond that point).
n = 65 California boys. It was used to predict 18-year old height from 6-year old height.
- At age 6, the average height was 46 inches with a standard deviation of 1.7 inches
- At age 18, the average height was 70 inches with a standard deviation of 2.5 inches
- r = .80
use this information to determine the LSRL
t one type of ball has a radius of
. The length and width of the box's square base are both twice the radius, and the balls are packaged four to a box, so that the height is eight times the radius. Find the percentage of the box that is filled. Round your percentage to the nearest hundredth. Also round all intermediate calculations to four decimal places.
The percentage of the box that is filled, to the nearest hundredth, is
6 cm wide,
and 10 cm high with water to a depth of 4 cm. Toby
totally submerges the toy soldier in the water. The
height of the water with the submerged toy soldier is
6.6 cm. Which of the following is closest to the
volume, in cubic centimeters, of the toy soldier?
collision to occur at height h = 5.0 m above the throw point. In addition, she knows that she needs t1 = 4.0 s between successive throws. Assume that she throws both cans with the same speed. Take g to be 9.81 m/s2.
(a) How long it takes (in seconds) after the ﬁrst can has been thrown into the air for the two cans to collide? Answer to 4 signiﬁcant ﬁgures. (b) Find the initial speed of the cans (in meters/second) to 4 signiﬁcant ﬁgures.
ame height it was thrown. Find the velocity of the ball when it leaves the hand, the max height the ball reaches, and the acceleration of the arm. The arm displacement from rest to release is .41 meters
of 300 meters before it starts falling toward the water.
Write and graph a quadratic function
Write and graph a quadratic function
Use a vertex of
, and passing through the point
, which represents where the flare hits the water.
t2 + 20t +2 where t is the time in seconds after the ball is thrown.
a) Graph the equation using desmos (if you can take a screen shot of it and include it)
b) Why do we use only positive values of h and t?
c) What is the height of the ball 1 second after it is thrown?
d) What is the maximum height of the ball?
e) How long does it take for the ball to reach the maximum height?
f) For how long is the ball more than 10 m above the ground?
a tilebased game,
2D rectangle tiles with a size of 5000X5000 pixels per rectangle.
I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map.
I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving.
So I know the following things:
Width and height of a single section:
the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000
The visible screen real estate is 1920 X 1080 pixels big
0X,0Y always stars top left, bottom right is 5000X5000
What I need to end up with:
A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)
ground in a straight line is 248km. it takes off from the ground and flies up quickly on a slant into air until it reaches a height of 15km. once it reaches a height of 15km above the ground, the plane levels out and flies parallel to the ground keeping its height constant. once the ground distance between the plane and Trenton is 100km, it points lower to make a diagonal descent to base in Trenton. what's the total distance of the plane's path
rden and lands at Trenton. the distance along the ground in a straight line is 248km. it takes off from the ground and flies up quickly on a slant into air until it reaches a height of 15km. once it reaches a height of 15km above the ground, the plane levels out and flies parallel to the ground keeping its height constant. once the ground distance between the plane and Trenton is 100km, it points lower to make a diagonal descent to base in Trenton. what's the total distance of the plane's path
at an attacker. Suppose a spitting cobra rears up to a height of 0.440 m above the ground and launches venom at 2.80 m/s, directed 47.0° above the horizon. Neglecting air resistance, find the horizontal distance (in m) traveled by the venom before it hits the ground.
d 5 cm wide. The area of the rectangle is 15cm squared. What is the height of the rectangle?
The second question is on another rectangle, the height is a and the width is 3a. The perimeter is 24cm. What is the length of the shortest side.
s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)
2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?
2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
If equation image indicator then x =
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
If 6m + 4 = 8m, then 4m =
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
d. There is no y-intercept.
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
ches are used to make snow globes.The spheres are tightly packed,as shown below.15 by 15 in.What is the volume of the empty space left in the box,in cubic inches?Round your answer to the nearest tenth of a cubic inch.
s 13 ft tall and 40 ft long and her scull has a legth of 5 feet. If the length of the museum scale model scull is 3 feet 3 inches, what is the height and the legth of the museum scale model?
a: in feet?
b: in meters?
(1 foot= 12 inches; 1 meter = 3.23 feet)