A kicker must kick a ball from a point 36 m from the goal post. The ball must cl

Question

A kicker must kick a ball from a point 36 m from the goal post. The ball must clear a crossbar which is 3.05 m high The kicked ball leaves the ground with a speed of 20 m/s at an angle of 53 degree measured from the ground, Does the ball clear the crossbar or come short of the crossbar? By how much? Does the ball approach the crossbar while still rising or while falling? A baseball is hit from 1m above the ground. The ball is observed to reach its maximum height above the ground 3, 0 s after being hit. 2.5 s after reaching this

Explanation / Answer

a) Here, time taken , t = 36/(20 * cos53)

                                     = 3 sec

Thus, height reached = 20 * sin53 * 3 - 1/2 * 9.8 * 3 * 3

                                    = 3.818 m

Thus, ball will clear the crossbar .

b)   ball will clear the crossbar by = 3.818 m - 3.05 m

                                                      = 0.768 m

c) As, Range = 202 * sin106/9.8

                         = 39.23 m

Thus, the ball approach the crossbar while falling .

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