The height of an arrow that is shot upward at an initial velocity of 40 meters per second can be modeled by h= 40t-5t^2 where h is the height in meters and t is the time in seconds

Question

Find the time it takes for the arrow to reach the ground.

Answer 1

h = 40t -5t^2 = 0

8t(5 -t) = 0

5-t=0

t =5

at time t=5 seconds, the arrow hits the ground