Question

Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height h, in feet, of the orange above the ground t seconds after it is thrown is given by

h(t) = −16t2 + 32t + 2, 0 ≤ t ≤ 2.118.

If Saul's outstretched arms are 16 feet above the ground, will the orange ever be high enough so that he can catch it?

a. No. The orange will reach a maximum height of 4 feet.

b. Yes. The orange will reach a maximum height of 18 feet.

c. There is not enough information given to answer the question.

d. No. The orange will reach a maximum height of 2 feet.

e. Yes. The orange will reach a maximum height of 36 feet.

Answer 1

Yes, the orange will be high enough so

that he can catch it because maximum height

attained if 20 ft.

Explanation: