SOLUTION: A baseball is hit vertically at a velocity of 50 ft per sec. What is the maximum height that the ball will reach, and after how many seconds does the ball reach its maximum height?

Question 603901: A baseball is hit vertically at a velocity of 50 ft per sec. What is the maximum height that the ball will reach, and after how many seconds does the ball reach its maximum height? (The height after t seconds is given by h=50t - 16t^2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A baseball is hit vertically at a velocity of 50 ft per sec. What is the maximum height that the ball will reach, and after how many seconds does the ball reach its maximum height? (The height after t seconds is given by
h=50t - 16t^2)
--------
Maximum height occurs when t = -b/(2a) = -50/(2*-16) = 1.56 seconds
-----
Max height = h(1.56) = 39.06 ft.
=================
Cheers,
Stan H.
=================
RELATED QUESTIONS
a ball is thrown vertically with an intial velocity of 96 feet per second. the distance S (answered by Alan3354)

1. Suppose you are in the stands of a World Series baseball game. A foul ball is hit... (answered by stanbon)

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

A baseball is thrown with a vertical velocity of 50 ft/s from an initial height of 6 ft.... (answered by Edwin McCravy)

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

A ball is thrown vertically upward from the ground with an initial velocity of 134... (answered by Boreal,josmiceli)

The height,h,(in feet)of a baseball that is popped up into the air is a quadratic... (answered by solver91311)

A baseball player has hit a ball. The height, y, of the ball x seconds after it is hit is (answered by jim_thompson5910,Alan3354)

6. A ball is thrown vertically upward with an initial velocity of 48 feet per second. (answered by josmiceli)