Question

If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When will the object hit the ground?

Answer 1

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

Therefore the equation h(t) = 80t – 16t2 becomes 0= 80t – 16t2

Solving the equation for t gives 80t =16t2 or 16t=80 or t=5sec

The object hits the ground 5 seconds after it is launched.