Question

The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground

1 sec
2 sec
3 sec
4 sec

Answer 1

3 seconds

Explanation:

We want to find when h(t) =0

0 = - 12t^2 + 36t

factor out a -12t

0 = -12t( t-3)

Using the zero product property

-12t = 0 and t-3=0

t = 0 and t=3

t=0 is when it is dropped and t=3 is when it lands