. 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?

Figure for Exercise 98

150

100

50

0

Height (feet)

0 1 2 3 4

Time (seconds)

Red ball

Green ball

Difference

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?

Figure for Exercise 98

150

100

50

0

Height (feet)

0 1 2 3 4

Time (seconds)

Red ball

Green ball

Difference