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?

1 Answer
Nov 21, 2015

#(a) " " 4.42"s"#

#(b)" " 55.25"m"#

Explanation:

#(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"#