A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 18.5 m/s. The cliff is h = 20.0 m above a flat, horizontal beach as shown in the figure. What are the components of the initial velocity? v0x =  ____m/s v0y =  ____m/s

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?

A cannon ball is fired at a wall that is 300 m away on level ground. The initial velocity of the cannon is 89 m/s, 40° above the horizontal. Don't assume the ball hits the wall at maximum height! What is the y-component of the ball's velocity when the ball hits the wall? h V; = 89 m/s 40° 300 m O 89.0 m/s O 9.81 m/s O 7.60 m/s O 18.2 m/s O 14.1 m/s O 2.99 m/s

An inflatable raft (unoccupied) floats down a river at an approximately constant speed of 5.2 m/s. A child on a bridge, 82 m above the river, sees the raft in the river below and attempts to drop a small stone onto the raft. The child releases the stone from rest. In order for the stone to hit the raft, what must be the horizontal distance between the raft and the bridge when the child releases the stone? m

Alice shoots a pebble horizontally with her slingshot from a window that is at a height H and it lands a distance D away from the building. She then shoots a pebble with the same initial velocity from a different window, but this time the pebble lands a distance D/2 away. How high is the window from which Alice takes the second shot? A. 4H B. 2H C. H D. H/2 E. H/4

Standing on the roof of a 95-m tall building, a girl holds her hand past the edge and throws a ball straight up at 8 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 40 m above the ground. Remember to include a "-" sign if the velocity is negative. V = m/s

A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 23 m/s at an angle θ = 16 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. A) With what speed, vf in meters per second, does the stone strike the ground?  B)  If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?   If the stone had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different?

A baseball is thrown with an initial speed of 37.5 m/s at a 42.0° angle in the absence of air resistance. a) What is the maximum height reached by the baseball? b) What is the magnitude and direction of the baseball's velocity at t = 2.50 s? c) What is the ball's height when it has traveled a horizontal distance of 55.0 m?

A hot-air balloon is rising upward with a constant speed of 2.39 m/s. When the balloon is 6.74 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? Number i ! Units S

A circus cat has been trained to leap off a 12-m-high platform and land on a pillow. The cat leaps off at vo = 3.1 m/s and an angle = 22° (see figure below). (a) Where should the trainer place the pillow so that the cat lands safely? d = X Your response differs from the correct answer by more than 100%. m (b) What is the cat's velocity as she lands in the pillow? (Express your answer in vector form.) Vf= m/s