A punter in a football game kicks a ball from the goal 60° from the horizontal at 25 m/s. What is the hang time afthe punt, and how far down field does the ball land?

##(a) " " 4.42"s"##

##(b)" " 55.25"m"##

##(a)##

We get the time taken to reach the maximum height by using the vertical component of the velocity:

##v=u+at##

##:.0=25sin60-9.8t##

##:.t=61.65/9.8=2.21"s"##

By inference the return to earth will take the same time, assuming a level playing field.

##:. ## total time in flight ##=2xx2.21=4.42"s"##

##(b)##

The horizontal component of velocity is constant so we get:

Distance = speed x time

##=25cos60xx4.42=55.25"m"##