Height of a Projectile When a projectile is shot into the air, it attains a maximum height
Question:
Height of a Projectile When a projectile is shot into the air, it attains a maximum height and then falls back to the ground. Suppose that x = 0 corresponds to the time when the projectile's height is maximum. If air resistance is ignored, its height h above the ground at any time x may be modeled by h(x) = -16x2 + hmax where hmax is the projectile's maximum height above the ground. Height is measured in feet and time in seconds. Let hmax = 400 feet.
(a) Evaluate h(-2) and (2). Interpret these results.
(b) Evaluate h(-5) and h(5). Interpret these results.
(c) Graph h for -5 ≤ x ≤ 5. Is h even or odd?
(d) How do the values of h(x) and h(-x) compare on the interval -5 ≤ x ≤ 5? What does this result indicate?
Step by Step Answer:
College Algebra With Modeling And Visualization
ISBN: 9780134418049
6th Edition
Authors: Gary Rockswold