The height, h in feet, of a rocket is given by h=-16t^2+64t+190, where t is time in seconds. Find the maximum height of the rocket and find the time the rocket was in the air.

Step-by-step explanation:

The height, h in feet, of a rocket is given by, where t is time in seconds.

...(1)

We need to find the maximum height of the rocket and find the time the rocket was in the air. For maximum height, put

So, it will reach its maximum height in 2 seconds.

Now put t = 2 in equation (1) as follows :

So, the maximum height of the rocket and find the time the rocket was in the air is 254 feet and 2 seconds respectively.

its 8

step-by-step explanation: