If the initial velocity of a projectile is 128 feet per second, then its height in feet is a function of time t in seconds given by the equation h(t) = −16t2 + 128t. (a) Find the time t (in seconds) when the projectile achieves its maximum height. sec (b) Find the maximum height (in feet) of the projectile. ft (c) Find the time t (in seconds) when the projectile hits the ground. sec

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.CR: Review Problem Set
Problem 62CR
Question
If the initial velocity of a projectile is 128 feet per second, then its height in feet is a function of time t in seconds given by the
equation h(t) = −16t2 + 128t.
(a)
Find the time t (in seconds) when the projectile achieves its maximum height.
sec
(b)
Find the maximum height (in feet) of the projectile.
ft
(c)
Find the time t (in seconds) when the projectile hits the ground.
sec
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