Question

A dime is dropped from a building at a

height of 1,024 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the dime to
hit the ground?
[?] seconds

Answer 1

8 seconds

Explanation:

Given :

h(t) = -16t2 + initial height

Initial height = 1024 feets

By the time it hits the ground, h(t) = 0

Equation becomes :

0 = - 16t² + 1024

Solve for t

-16t² = 1024

t² = 1024 / -16

t² = 64

t = √64

t = 8

Hence, it will take 8 seconds