Find the height in feet of a free-falling object at time t=2 using the function $s = - 16 t ^ { 2 } + 57 t + 53$ .
A)125 feet
B)231 feet
C)50 feet
D)3 feet
E)103 feet

Question

Quizplus · Accepted Answer

To find the height of a free-falling object at time t=2, we need to plug in t=2 into the given function and solve for s. 
$$s=-16(2)^2+57(2)+53=-64+114+53=103$$
Therefore, the height of the object at time t=2 is 103 feet, so the best choice is E.

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