ball is thrown from the top of a building and falls to the ground below. Its path can be modelled by the relation H = -4t^2  +  8t  +  32, where H is the height above the ground in metres, and t is the time in seconds.    a) What is the approximate height of the building? b) How long does it take the ball to hit the ground?

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A ball is thrown from the top of a building and falls to the ground below. Its path can be modelled by the relation
H = -4t^2  +  8t  +  32, where H is the height above the ground in metres, and t is the time in seconds. 
 
a) What is the approximate height of the building?
b) How long does it take the ball to hit the ground?
c) What is the maximum height reached by the ball?
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