SOLUTION: A person standing close to the edge on top of a 40 foot building throws a bal vertically upward. The quadratic function h(t)= -16t^2 +72t + 40 models the ball's height about the gr

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Question 1160555: A person standing close to the edge on top of a 40 foot building throws a bal vertically upward. The quadratic function h(t)= -16t^2 +72t + 40 models the ball's height about the ground, h(t), in feet, t seconds after it was thrown.
What is the maximum height of the ball?
How many seconds does it take until the ball hits the ground?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The maximum height is at the vertex of the parabola described by the quadratic function.

The vertex of

is at . For your height function, the maximum height is the -coordinate of the vertex point.

The height of the ball when it hits the ground is zero feet. Solve:



for the positive root.


John

My calculator said it, I believe it, that settles it


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