A kicker for a football is attempting a field goal from a distance of 40 yards (

Question

A kicker for a football is attempting a field goal from a distance of 40 yards ( 120 feet) away from the goal post. The ball is kicked from the ground with an initial speed of 65 feet per second and an an initial angle of 40. Will the ball clear the goal post bar, which is 10 feet above the ground? Assume Gravity is the only force acting on the object. A kicker for a football is attempting a field goal from a distance of 40 yards ( 120 feet) away from the goal post. The ball is kicked from the ground with an initial speed of 65 feet per second and an an initial angle of 40. Will the ball clear the goal post bar, which is 10 feet above the ground? Assume Gravity is the only force acting on the object.

Explanation / Answer

here,

initial speed, v = 65 ft/s

angle of ball with horizontal at time of kick, A = 40

Distance to goal post, d = 120 ft

height of goal post, H = 10 ft

Max height attained by ball after kicking,
h = v^2*Sin^2(A) / (2g)
h = 65^2*Sin^2(40) / (2*9.81)
h = 88.974 ft

as max height, h > > > H, height of goal post

therefore the ball will surpass the goal post.

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