Answer:
Object will reach the max height in 10 seconds.
Max. height is 1817.
It will hit the ground in 20 seconds.
Step-by-step explanation:
In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.
h'(t)=-12t+120=0
t=10
The object will reach its maximum height in 10 seconds.
h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817
Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.
10.2=20
