algebra word problem

Question

Neglecting air​ resistance, the distance s(t) in feet traveled by a freely falling object is given by the function

s(t)=16t^2, t is time in seconds How long would it take an object to fall to the ground from the top of the​ tower that is 3195 feet tall?

Answer 1

In this case, s(t) = 3195 feet

3195 = 16t^2

Dividing both sides by 16

199.6875 = t^2

Taking the square root

t= approximately 14.1 seconds