Question

A rocket is launched into the air and follows the path h(t)=−3t2+12t where t is time measured in seconds and h(t) is the height. Determine how long it takes the rocket to hit the ground. Show all work for full credit.

Answer 1

Answer: it takes 4 seconds

Step-by-step explanation: solve values of t when h(t) = 0.

-3t² + 12t= 0 when t(-3t+12)= 0, t= 0 (start) or t=4