Question1

A place kicker must kick a football from a point 33.0 m (about 36 yd) from the goal. As a result of the kick, ball has to clear the crossbar that is 3.05 m high. While kicked,the ball leaves the ground with a speed of 21.0 m/s at an angle of 54 to the horizontal.

To determine if the ball clears the crossbar, what is its height with respect to the crossbar as it reaches the plane of the crossbar? The acceleration of gravity is 9.81 m/s2.

Answer in units of m

Question2

A stone is thrown with an initial velocity of 20. meters per second straight upward from the edge of a cliff 100. meters above a canyon floor. The stone just misses the cliff's edge on its way down. [Neglect friction.] Calculate the time required for the stone to reach its utmost height. Compute the greatest height of the stone above the edge of the cliff.

Question3

If R = 12 cm, M = 530 g, and m = 40 g (below), find out speed of the block after it has descended 50 cm starting from rest. Answer problem using energy conservation principles. (Treat the pulley as a uniform disk.)