Problema Solution

A football player kicks a football in a way that its height is given by d(t)=-16t^+24t+2. What is the maximum height reached by the football? What is the hang time of the football?

Answer provided by our tutors

d(t)=-16t^+24t+2.

d'(t) = -32t+24

for maxima d'(t) =0

then

-31t+24 = 0

32t = 24

t = 24/32

t = 6/8

t = 3/4

d(3/4)=