SOLUTION: The equation h = -16t^2 + 40t + 5 gives the height h, in feet, of a baseball as a function of time t, in seconds, after it is hit. What is the maximum height the baseball reaches?
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Question 1023081: The equation h = -16t^2 + 40t + 5 gives the height h, in feet, of a baseball as a function of time t, in seconds, after it is hit. What is the maximum height the baseball reaches?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The equation h = -16t^2 + 40t + 5 gives the height h, in feet, of a baseball as a function of time t, in seconds, after it is hit ONLY if the ball is exactly 5 feet off of the ground when it is hit and the initial vertical velocity component of the ball at the time of impact is exactly 40 feet per second.
This height function is modeled by a parabola. A parabola with a negative lead coefficient opens downward so that the value of the function at the vertex is the maximum value of the function.
For a parabola described by 
, the vertex is at \right))
Your value for 
is 40 and your value for 
is -16. Plug in the numbers and do the arithmetic.
John
My calculator said it, I believe it, that settles it
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