Question 329580
 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( 300, 200, -4, 8, -20, 150, -16x^2+96x, -16x^2+80x) }}}