Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.5 - Parametric Equations - Exercise Set - Page 1021: 83


See graph and explanations.

Work Step by Step

Step 1. Given $\theta=55^\circ, v_0=200\ ft/s, h=0$, we can write the position of the projectile as $x=(200cos55^\circ) t, y=(200sin55^\circ) t-16t^2$ where $t$ is the time. Step 2. We can graph the parametric equations as shown in the figure. Step 3. We can identify the maximum height as $y_m\approx419.4\ ft$ at the time $t\approx5.1\ sec$ Step 4. We can also identify the range of the projectile as $x_m\approx1174.6\ ft$ at the time $t\approx10.2\ sec$ when the projectile hits the ground.
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