Select the correct answer.

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h (t) = - 16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h (t) represents the baseball's height in feet. When factored, this equation is h (t) = - 16 (t - 7) (t + 2).

What is a reasonable time for it to take the baseball to land on the ground?

A.

7 seconds

B.

2 seconds

C.

9 seconds

D.

5 seconds

Question

Mathematics

Bear

21 October, 16:56

Select the correct answer.

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be represented by the quadratic equation h (t) = - 16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h (t) represents the baseball's height in feet. When factored, this equation is h (t) = - 16 (t - 7) (t + 2).

What is a reasonable time for it to take the baseball to land on the ground?

A.

7 seconds

B.

2 seconds

C.

9 seconds

D.

5 seconds

+2

Answers (1)

Know the Answer?

Landon Clements · Answer 1

Answer:The reasonable time for the base ball to land on the ground is 5 seconds

Step-by-step explanation:

To get the time we will differentiate

h (t) = - 16t2 + 80t + 224, w. r. t t

dh (t) / dt = 0

-32t + 80=0

32t=80

t=80/32

t = 2.5 seconds This is the time the base ball has been in the air

The reasonable time for it to take the baseball to land on the ground is T = 2*t

T = 2*2.5

T=5 seconds