Aplacekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. when kicked, the ball leaves the ground with a speed of 22.6 m/s at an angle of 47.0° to the horizontal. (a) by how much does the ball clear or fall short of clearing the crossbar? (enter a negative answer if it falls short.) m (b) does the ball approach the crossbar while still rising or while falling? rising falling

(a). H = 8.83 m

(b). Rising

Explanation:

Given,

part (a)

In the horizontal direction,

Ball is moving with the constant initial velocity of

Let 't' be the time of the ball to reach at the crossbar of distance r.

At time 't', let 'y' be the vertical displacement attained by the ball.

From the equation of kinematics,

Total distance of the ball above the crossbar = H = y - h = 11.88 - 3.05 = 8.83 m

part (b)

At the maximum height, vertical velocity of the ball becomes zero,

Let h be the maximum height attained by the ball.

From the kinematics,

Maximum height attained by the ball with the given initial velocity is 13.92 m but at the crossbar it attains 11.88 m. Hence the ball will still rising approaching the crossbar.