SOLUTION: 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 aft
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Question 278988: 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 -16t^2 + 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
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ -16t^2 + 96t)
\ =\ -16t^2 + 80t)
\ =\ H_r(t)\ -\ H_g(t)\ =\ -16t^2 + 96t\ -\ \left(-16t^2 + 80t\right)\ =\ 16t)
After 2 seconds, they are:
\ =\ 16(2)\ =\ 32)
feet apart.
John
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