Problema Solution

The height of a projectile fired upward with an initial velocity of 400 feet per second is given by the formula h=-16t^2+400t where h is the height in feet and t is the time in seconds. Find the time required for the projectile to return to earth.

Answer provided by our tutors

when returning to earth, h = 0

Set h=-16t^2+400t = 0

Factoring t(-16t+400) = 0

t must not be 0

-16t + 400 = 0

t=400/16= 25