SOLUTION: 13. (8 pts) If a projectile is launched from a platform 40 feet high with an initial velocity of 96 feet per second, then the height of the projectile at t seconds is given by s

Question 150020: 13. (8 pts) If a projectile is launched from a platform 40 feet high with an initial velocity of 96 feet per second, then the height of the projectile at t seconds is given by
s(t) = �16t^2 + 96t + 40 feet.
(i) At what time does the projectile attain its maximum height? Show some work.

(ii) What is the maximum height attained by the projectile? Show some work.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 13

In order to find the time it takes to reach the max height, use this formula:

Start with the given formula.

From , we can see that , , and .

Plug in and .

Multiply 2 and to get .

Divide.

So it takes 3 seconds for the projectile to attain its maximum height.

-------------------------

ii)

To find the max height, simply plug the time into the equation

Start with the given equation.

Plug in .

Square to get .

Multiply and to get .

Multiply and to get .

Combine like terms.

So the max height is 184 feet.
RELATED QUESTIONS
If a rocket is launched from Houston, Texas, with an initial velocity of 1600 feet per... (answered by stanbon)

A projectile is launched from ground level with an initial velocity of V0 feet per... (answered by Alan3354)

A projectile is launched upward with a velocity of 160 feet per second from the top of a... (answered by josmiceli)

A rocket is launched straight up from the ground with an initial velocity of 96 feet per... (answered by Alan3354,josmiceli)

A rocket is launched straight up from the ground with an initial velocity of 96 feet per... (answered by Alan3354)

A projectile is launched from ground level with an initial velocity of v0 feet per... (answered by Alan3354)

1. If a projectile is launched with an initial velocity of feet per second from an... (answered by lwsshak3)

A projectile is launched upward at an initial velocity of 64 ft/sec from a platform. It... (answered by ankor@dixie-net.com)

Use the function h(t)=-16t^2+v0t+s A projectile is launched from a building 256 feet... (answered by Alan3354,stanbon)