SOLUTION: How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet?

Question 102317: How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet?
:
Use the equation: height = -16t^2 + 90t + 3; where t is the time in seconds
:
Use the vertex formula x = -b/(2a)
:
In our equation a = -16 and b = 90
:
t = -90)/2(-16)
t = -90/-32
t = +2.8125 sec when the ball reaches max height
:
Substitute 2.8125 for t in the original equation to find the height:
:
h = -16(2.8125^2) + 90(2.8125) + 3
h = -16(7.91) + 253.125 + 3
h = -126.56 + 253.125 + 3
h = 129.565 ft is the max height
:

RELATED QUESTIONS
A baseball hit with initial upward velocity of 26 meters per second will reach a height... (answered by scott8148)

Baseball Tonisha hit a baseball into the air with an initial upward velocity of 48... (answered by jim_thompson5910)

A baseball is hit with an intial upward velocity of 80 feet per second will reach height... (answered by lynnlo)

A baseball is hit 2 feet above the ground with initial upward velocity of 48 feet per... (answered by ikleyn)

The formula h=-16t^2+vt gives the height h in feet of an object after t seconds when it... (answered by ankor@dixie-net.com)

A ball is thrown vertically upward from the ground with an initial velocity of 103 feet... (answered by ikleyn)

This is from a test question which I struggled with. Use the projectile motion... (answered by ikleyn)

Michael throws a baseball into the air with an initial vertical velocity of 180 feet per... (answered by TimothyLamb)

The formula h=-16t^2+vt gives the height h in feet of an object after t second, when it... (answered by nerdybill,stanbon)