A ball is thrown from the top of a building and falls to the ground below.   Its path is determine by the equation h=-4t square + 36t + 40, where h is the height above the ground in meters and t is the elapsed time in seconds. Determine: a. The maximum height the ball reaches and the time it takes to reach maximum height by using the method of completing the square.  Keep in fraction form.  b. Determine when the ball hits the ground.  c. What is the height of the building.

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A ball is thrown from the top of a building and falls to the ground below.   Its path is determine by the equation h=-4t square + 36t + 40, where h is the height above the ground in meters and t is the elapsed time in seconds. Determine:

a. The maximum height the ball reaches and the time it takes to reach maximum height by using the method of completing the square.  Keep in fraction form. 
b. Determine when the ball hits the ground. 
c. What is the height of the building. 

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