A ball is thrown in the air from the top of a building its height in meters above ground as

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,

ction of time, in seconds, is given by h(t) = −4.9t2 + 18t + 12. How long does it take to reach maximum height? (Round your answer to three decimal places.) _________

same speeds toward identical wooden blocks. The rubber ball bounces off its block, whereas, the clay ball sticks its block. Which ball is more likely to knock its block off balance?

nds in a valley which is 15. meters deep. Assume that air resistance is negligible. Find the time the ball is in the air?

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?

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.

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.

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

delled by h(t) = -4.9 (t - 1.25)^2+9. When does the ball hit the ground?