A rocket is fired at a speed of 53.0 m/s from ground level, at an angle of 55.0° above the horizontal. The rocket is fired toward an 15.9 m high wall, which is located 18.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall? Number i Units Hint

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.

A small child is learning to ride a bike for the first time. Her dad decides it would be a good idea to start her on a small hill. The hill is inclined at 3.00° to the horizontal. The child starts partway down the hill, 9.00 m away from her dad, who stays at the top. She starts to wobble, so her dad sprints toward her from rest with an acceleration of 1.40 m/s2. How far has the child gone before her parent catches her?

On a beautiful spring day, Juan is playing a round of golf. He hits the golfball with an initial velocity of 37 m/s at an angle of 27.4°. If it hits the ground 5.8s later, how far does it travel? Ignore air resistance. Answer: m

A criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.1m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The e horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0m below the jumping-off point. Find the maximum value for D.

A fox fleeing from a hunter encounters a 0.770 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.30 m/s at an angle of 45.0°, beginning the jump 1.93 m from the fence. By how much does the fox clear the fence? Treat the fox as a particle.

When a chronometer begins with a time of zero seconds, matching soccer balls have a horizontal separation, d=6.28m. The ball on the left is released from the ground with an initial velocity of magnitude v0 directed toward the other soccer ball. The ball on the right has an initial height h1=3.17m and is momentarily at rest. A short time later, the matching soccer balls collide at the collision point, C, at a height h2-1.69m above the ground, as indicated on the diagram. Ignore the finite size of the balls, and additionally ignore any air resistance. (Dimensions are not to scale.) Part (a)  Given the numeric values in the problem statement, tabulate the elapsed time, in seconds, at which the matching soccer balls collide.  Part (b)  Given the numeric values in the problem statement, tabulate the magnitude, in meters per second, of the initial velocity of the soccer ball on the left.