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.
