Problema Solution

Neglecting air resistance s(t) in feet traveled by a freely falling object is given by the function s(t) =16t^2, where t is time in seconds. The height of a certain tower is 845 feet. How long would it take an object to fall to the ground from the top of the building .

Answer provided by our tutors

To begin the problem, you want to first start by writing out the formula given and any additional information that it states.

s(t)=16t^2 

and the height s(t)=845ft

To solve for t simply plug 845 in for s(t), then divide by 16 to isolate t^2

Finally, to find t just take the square root of both sides and you will get t=7.267s where s is seconds

Hope this helps :D