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. 
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?
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It's -16t^2 + 96t, and
-16t^2 + 80t
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a) Find a polynomial D(t) that represents the difference in
the heights of the two balls. 
The difference in height is the difference between the 2 equations, which is
16t
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b) How much higher is the red ball 2 seconds after the
balls are tossed? 
Red: h = -16*4 + 192 = 128 feet
Grn: h = -16*4 + 160 = 96 feet
The difference is 32 feet, which is 16t.
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c) In reality, when does the difference in the heights stop increasing?
The difference increases at a rate of 16t feet/second until the first ball (the green one) hits the ground at t=5.