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?

-2 seconds

-9 seconds

-5 seconds

-7 seconds

Question

Mathematics

Emma Villegas

7 December, 17:45

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?

-2 seconds

-9 seconds

-5 seconds

-7 seconds

+1

Answers (1)

Know the Answer?

Journey Vaughan · Answer 1

H (t) = 0 for t = 7 and for t = - 2.

It is reasonable for the time to be positive, 7 seconds.

(The offered answers all appear to be negative, so none are reasonable.)