Aplace-kicker 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 23.6 m/s at an angle of 45.0° to the horizontal. (a) by how much does the ball clear or fall short (vertically) of clearing the crossbar? (enter a negative answer if it falls short.)

(b) does the ball approach the crossbar (and cross above or beneath it) while still rising or while falling?
rising or falling?

Part (a) 10.15 m

Part (b) Rising

Explanation:

Given,

part (a)

Let 't' be the time taken to reach the ball to the cross bar,

In x-direction,

Let y be the height attained by the ball at time t = 2.15 sec,

Now Let H be the height by which the ball is clear the crossbar.

part (b)

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

i,e,

Let h be the maximum height attained by the ball.

Hence at the cross bar the ball attains the height 13.205 m but the maximum height is 14.19 m. Therefore the ball is rising when it reaches at the crossbar.

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

pe = weightxheight = 2000x1000=2,000,000joules