Aaron Judge is at bat and finds a Dellin Betances fastball heading his way. Judge hits the fastball when it is 3 feet off the ground. After it is hit, the height h (in feet) of the ball is modeled by h(t) = -16t2 + 95t + 3, where t is the time (in seconds). How long will it take for the ball to hit the ground? Round to the nearest hundredth.

Answer 1

it hits the ground when the height is zero, right? So just solve
-16t^2 + 95t + 3 = 0
in the usual ways.