The height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using the function $h(t)=-16 t^{2}+s$. An object is dropped from a helicopter 576 feet above the ground. How long will it take the object to land on the ground?
A) 7.5 seconds
B) 8 seconds
C) 5 seconds
D) 6 seconds

Question

Quizplus · Accepted Answer

To find the time it takes for the object to hit the ground, set $h(t) = 0$ and solve for $t$. Using the given function $h(t) = -16t^2 + s$ with $s = 576$, we get $0 = -16t^2 + 576$. Solving for $t$, we find $t = 6$ seconds.

The Height, in Feet, of a Free-Falling Object T Seconds h(t)=−16t2+sh(t)=-16 t^{2}+sh(t)=−16t2+s

The Height, in Feet, of a Free-Falling Object T Seconds $h(t)=-16 t^{2}+s$