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# Height difference. A red ball and a green ball are simultaneously tossed into the air.

. Height difference. 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.
a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
b) How much higher is the red ball 2 seconds after the
balls are tossed?
c) In reality, when does the difference in the heights stop
increasing?
Figure for Exercise 98
150
100
50
0
Height (feet)
0 1 2 3 4
Time (seconds)
Red ball
Green ball
Difference

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