Question

The function F (t) = -16t^{2} + 64t + 5 represents the height (in feet) of a pumpkin t seconds after being launched from a catapult.

What is the maximum height of the pumpkin as it flies through the air? Enter your answer as a number without units.

Answer 1

69

Explanation:

-16t^2 +64t +5

= -16t(t-4) +5

so since t can't be negative then t-4<0 with t positive

so t =2

-16(2) × -2 +5 = 64+5 = 69