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Brittany hit a golf ball from the ground and it followed the path of, h(t)=−64t2+200t, where t is the time in seconds and h is the height of the ball. How long does it take for the golf ball to hit the ground?

Answer :

It takes 3.125 seconds for the golf ball to hit the ground

The equation representing the height is:

h(t) = -64t²  +  200t

At the ground, the height of the ball is zero.

That is, h(t)  =  0

Equate the given equation to zero and solve for t

[tex]-64t^2+200t=0\\\\64t^2=200t\\\\64t=200\\\\t=\frac{200}{64} \\\\t = 3.125 seconds[/tex]

It takes 3.125 seconds for the golf ball to hit the ground

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