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Find the maximum and minimum values of


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2. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is slanted upward ...

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.
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3.Q1) (15 points) In the diagram below, M1 = 50 Kg, M2 = 20 Kg, mass and radius of the ...

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,
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4.A 35 g bullet with a velocity of 75 m/s hits a 7 kg block and the bullet go inside ...

block moves and compress the spring. Find the maximum compression on the spring where the block momentarily comes to stop. The spring constant is 25 N/m.
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6.You make very good pizzas, so you decide to sell your pizzas on campus. Since the set up for making ...

pizza is already available to you, the only cost involved is that of making the pizza, which you calculate to be $ 5 per pizza. a. What is the cost function? If 10 pizzas are available in a day, the market offers a price of $ 11 per pizza. If 50 pizzas are available in a day, the market offers a price of $ 7 per pizza. b. Assuming a linear relationship between price and quantity, find the price that the market offers as a function of the number of pizzas available. You start selling the pizzas. c. What is revenue as a function of the quantity you sell? What is the profit function? d. What quantity will maximize your profit? Call it q ∗ 1. What is the maximum profit? e. If somebody is already supplying 5 pizzas every day, What is the maximum profit that you can make?
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7.Hello, I had query in a question -A rectangular lot is bordered on one side by a stream and on ...

ther three sides by 600m of fencing. Find the maximum area that can be enclosed by the fence. Kindly help!
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8.Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost ...

tal-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs. Upper R left parenthesis x right parenthesis equals 1300 x minus x squared​, Upper C left parenthesis x right parenthesis equals 3000 plus 30 x The total​ profit, ​P(x)equals negative x squared plus 1270 x minus 3000. ​(Simplify your answer. Do not​ factor.)
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics