Question

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?

Answer 1

hr height red = 96 t - 16 t^2

hg height green = 80 t -16 t^2

D = 96 t - 80 t = 16 t

b)32 ft
c) when the first one hits the ground.
D = 96 t - 80 t

Answer 2

Thank you very much.