A football player attempts a 35.0 meter field goal. The ball is kicked at an ang

Question

A football player attempts a 35.0 meter field goal. The ball is kicked at an angle of 36.0 degrees with an initial velocity of 25.0 meters/second. If the direction of the kick is between the uprights, and the crossbar is 4.00 meters off the ground, will the field goal be good or not? Show all work. A football player attempts a 35.0 meter field goal. The ball is kicked at an angle of 36.0 degrees with an initial velocity of 25.0 meters/second. If the direction of the kick is between the uprights, and the crossbar is 4.00 meters off the ground, will the field goal be good or not? Show all work.

Explanation / Answer

The initial speed u = 25 m/s
the angle made by the horizontal theta = 36 degrees
the distance of the goal post x = 35 m
The height of the goal post h = 4 m

The equations of motion are

x = u cos36*t
y = u sin36*t - 0.5*gt^2

The time taken by the ball to reach the goal post (horizontaly)
35 = 25*cos36*t
t = 1.73 s So the field goal be not good
the vertical displacement of the ball in this time is y = 25*sin36*1.73 - 0.5*9.8*1.73*1.73 y = 10.76 m This height is greater than the height of the goal post.

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