SOLUTION: The initial velocity of a rocket shot straight upward is 40 ft/sec. The height of the rocket after t seconds is given by the formula h(t) = -16t(squared) + 40 t. What is the maxim

Question 426739: The initial velocity of a rocket shot straight upward is 40 ft/sec. The height of the rocket after t seconds is given by the formula h(t) = -16t(squared) + 40 t. What is the maximum height the rocket reaches? When will it land? Show and explain work.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

The maximum height occurs at
where

To find the max height,

The max height is 25 ft
It will land when

There are 2 ways for h(t) to be zero,

( at takeoff), and

The rocket will land in 2.5 sec
check answer:

OK
Here's a plot:

RELATED QUESTIONS
A water rocket is launched upward with an initial velocity of 48 ft/sec. Its height h, in (answered by scott8148)

A model rocket is shot vertically upward with an initial velocity of 288 ft./sec. The... (answered by Alan3354,ewatrrr)

SOLVING APPLICATIONS Assume that a water rocket is launched upward with initial velocity (answered by Boreal)

Please help with this question. A water rocket is launched upward with an initial... (answered by Fombitz)

A water rocket is launched upward with an initial velocity of 48 ft/sec. Its height h, in (answered by dabanfield)

A water rocket is launched upward with an initial velocity of 48 ft/sec. It's height h,... (answered by Fombitz)

After t sec, the height of a rocket launched straight upward from the ground level with... (answered by ewatrrr)

Suppose that a bottle rocket is launched upward with a initial velocity of 96ft/sec from... (answered by ikleyn)

I shot a rocket from the roof of a second story house. The rocket propelled upward with... (answered by solver91311)