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?

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?