Question 181660
A red ball and a green ball are simultaneously tossed into the air. 
The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t2 + 96t feet. 
The green ball is given an initial velocity of 80 feet per second, and its
height t seconds after it is tossed is -16t2 + 80t feet.
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a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
D(t) = red - blue = 16t
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b) How much higher is the red ball 2 seconds after the
balls are tossed?
D(2) = 16*2 = 32 ft.
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c) In reality, when does the difference in the heights stop increasing?
When the height of the blue ball reaches zero.
h(t) = -16t^2 + 80t = 0
-16t(t-5) = 0
t = 5 seconds
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Cheers,
Stan H.
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