Find the height in feet of a free-falling object at time t=4 using the function $s = - 16 t ^ { 2 } + 63 t + 144$ .
A)652 feet
B)148 feet
C)4 feet
D)364 feet
E)140 feet

Question

Quizplus · Accepted Answer

To find the height of the object at time t=4, we need to plug in t=4 into the given function and solve for s.

\begin{aligned} s &= -16t^2 + 63t + 144 \ &= -16(4)^2 + 63(4) + 144 \ &= -16(16) + 252 + 144 \ &= -256 + 396 \ &= 140 \end{aligned}

Therefore, the height of the object at time t=4 is 140 feet. The answer is E.

Find the Height in Feet of a Free-Falling Object at Time