SOLUTION: Height difference. A red ball and a green ball are simultaneously tossed into the air. The read ball is given an initial velocity of 96 feet per second, and its height t seconds a

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Question 329580: Height difference. A red ball and a green ball are simultaneously tossed into the air. The read 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 -16t^2 + 80t feet.
a) find a polynomial D(t) that represents the difference in the heights of the two balls.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 -16t^2 + 80t feet.
a) find a polynomial D(t) that represents the difference in the heights of the two balls.
:
D(t) = (-16t^2 + 96t) - (-16t^2 +80t)
:
Remove brackets
D(t) = -16t^2 + 96t + 16t^2 - 80t
:
combine like terms:
D(t) = 16t
:
A graph illustrates this well
+graph%28+300%2C+200%2C+-4%2C+8%2C+-20%2C+150%2C+-16x%5E2%2B96x%2C+-16x%5E2%2B80x%29+