Question

a dime is dropped from a building at 1.024 ft . if the equation for height as a function of time is h(t)=-16t^2+ initial height where is 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?

Answer 1

The dime hits the ground after 8 sec.

Explanation:

Set h(t) = -16t^2 + h(0) equal to 0: -16t^2 + 1,024 ft = 0, or:

16t^2 = 1,024 ft, or:

t^2 = 64 ft^2

Then t = +8 sec

The dime hits the ground after 8 sec.