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

For this case we have the following equation:

h (t) = - 12t2 + 36t

When the object hits the ground we have:

- 12t2 + 36t = 0

We look for the roots of the polynomial:

t1 = 0

t2 = 3

Therefore, the time it takes the object to hit the ground is:

t = 3 s

Answer:

the time when the object hits the ground is:

t = 3 s