While warming up before the match, Serena Williams is gently bouncing a tennis ball up and down on her racket. She then gives it a powerful upward hit from an initial height of 0.80 m and sends it traveling perfectly vertically. After rising to its maximum height, the ball falls back down to the court. Given that the ball was in the air for a total of 1.91 s, determine its velocity upon hitting the court.

Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.

Before considering the air resistance, the time and range of the object after it hits the ground from a canon is 1.29 s and 17.57 m and the highest height it made was 2.05m. After considering the air resistance, its new time and range is 1.26 s and 16.03 m, respectively and its new height is 1.95 m. What are the effects of air resistance on the range and final height of a projectile? Given that the initial speed, initial height and initial angle were all constant.

A particle's position is given by  z(t) = −(7.30 m/s2)t2  for  t ≥ 0.  (Express your answer in vector form.) (a) Find the particle's velocity at  t = 2.50 s  and  t = 3.25 s. (b) What is the particle's average velocity during the time interval from  t = 2.50 s  to  t = 3.25 s?

A stone is dropped from rest from the top of a tower that is 42 m high. From ground level, a second stone is thrown straight upward at the same instant that the first stone is dropped. The initial speed of the second stone is exactly the same as that with which the first stone eventually hits the ground. In the absence of air resistance, the motions of the stones are just the reverse of each other. How far below the top of the tower will the two stones cross path?

Your little sister is running to the park in your neighborhood at a speed of 3.90 m/s when you suddenly realize she left her favorite playground ball behind. You throw her ball horizontally out the window of your apartment which is at a height of 45.0 m above the street and directly above the sidewalk. You throw the ball 8.00 seconds after she has passed below your window and she catches the ball! a) Ignoring air resistance, what is the initial speed that you must throw her ball so she can catch it just before it reaches the ground? b) How far down the sidewalk from the window is your sister when she catches her ball?

A rocket is fired at a speed of 83.0m/s from ground level, at an angle of 66.0degrees above the horizontal. The rocket is fired towards an 28.8m high wall, which is located 25.0m away. The rocket attains its launch speed in a neglibly short period of time, after which its engines shut down and the rocket coasts. By how much time does the rocket clear the top of the wall?

Review Conceptual Example 15 before attempting this problem. Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 27.3 m/s to each pellet. Gun A is fired straight upward, with the pellet going up and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the ground

Two objects, A and B, are thrown up at the same moment of time from the same level (from the ground). Object A has initial velocity 10.8 m/s; object B has initial velocity 17.4 m/s. How high above the ground is object B at the moment when object A hits the ground? Need help with this question, thank you!

Two students are on a balcony 18.6 m above the street. One student throws a ball (ball 1) vertically downward at 13.1 m/s; at the same instant, the other student throws a ball (ball 2) vertically upward at the same speed. The second ball just misses the balcony on the way down. (a) What is the difference in the two ball's time in the air? (b) What is the velocity of each ball as it strikes the ground?