Question

How long will it take for the object to fall all the way down to the ground? The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and h is the intial height is h(t)=-16t^2+h. The building is 162 feet tall.

Thanks so much!

Answer 1

Since the initial height of the bldg is 162 ft, h(t)= -16t^2+h becomes

-16t^2+162, or 16t^2 = 162. Taking the + square root of both sides,

we get t = 162/16 seconds, or 10 1/8 seconds.