The punter stands on the 22 yard (roughly a meter) line to the left of the 50 yard line and the ball is kicked with an initial velocity of 25.3 m/s at an angle of 58.5° above the ground. What is the hang time of the football?

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Answer 1 · 2015-09-25T21:18:42

The hang time is $4.40$ seconds.

The hang time is the total time the football is in the air. It is calculated using vertical components of the motion.

initial vertical velocity: $v_"iy"=25.3 "m/s"*sin58.5=21.6 "m/s"$

final vertical velocity: $v_"fy"=-21.6 "m/s"$

Use the following equation to find hang time.

$v_"fy"=v_"iy" +"gt"$

$-21.6"m/s"=21.6 "m/s"+(-9.81 "m/s"^2)t$

$-43.2 "m/s"=(-9.81 "m/s"^2)t$

$(-43.2 "m/s")/(-9.81 "m/s"^2)=t$

$t=4.40"s"$