Solve the problem.
-The distance, s, in feet, traveled by a body falling freely from rest in t seconds is approximated by the function An experimenter on a ladder releases a marble from rest. The marble takes 2 seconds to fall to the ground. How high was the marble when it was released?
A)1024 feet
B)64 feet
C)32 feet
D)4 feet

Question

Solve the problem.
-The distance, s, in feet, traveled by a body falling freely from rest in t seconds is approximated by the function  An experimenter on a ladder releases a marble from rest. The marble takes 2 seconds to fall to the ground. How high was the marble when it was released?
A)1024 feet 
B)64 feet 
C)32 feet 
D)4 feet

Quizplus · Accepted Answer

We need to find the initial height from where the marble was released. 
Using the given function, s = 16t^2, where s is the distance traveled by the marble in t seconds. 
We know the marble took 2 seconds to fall to the ground. 
Substituting t = 2 in the above equation, we get s = 16×2^2 = 64 feet. 
Therefore, the marble was released from a height of 64 feet. 
Hence, the answer is (B) 64 feet.

Solve the Problem. -The Distance, S, in Feet, Traveled by a Body Falling