Question

The height of a soccer ball can be modeled by the function h(t) = - 8t2 + 32t. Where h(t) is the height in feet and t is the in seconds. Find the time when the soccer ball reaches its maximum height

1 sec
2 sec
3 sec
4 sec

Answer 1

2 seconds

Explanation:

We want to find when h(t) =0

0 = - 8t^2 + 32t

factor out a -8t

0 = -8t( t-4)

Using the zero product property

-8t = 0 and t-4=0

t = 0 and t=4

t=0 is when it is dropped and t=4 is when it lands

The maximum height is halfway in between

(0+4) /2

2 seconds