SOLUTION: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many s

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many s      Log On


   

Question 1181132: A ball leaves the end of a baseball bat and travels according to the formula h(t) = -16t² + 64t where h is the height of the ball in feet and t is the time in seconds. How many seconds will it take for the ball to reach a height of 64ft in the air?
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.

To answer the question, you need to solve this quadratic equation

    h(t) = 0,


or

    -16t^2 + 64t = 64.


So, simplify the equation

    t^2 - 4t + 4 = 0

    %28t-2%29%5E2 = 0


and find the root  t = 2.


ANSWER.  In 2 seconds, the height will be 64 feet.

Solved.

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