Solve the problem using a graphing calculator.
-Determine whether a baseball hit 109 feet per second at an angle of $30 ^ { \circ }$ relative to level ground will clear a 10-foot wall 400 feet away.

Question

Quizplus · Accepted Answer

Using the formula for the range of a projectile $R = \frac{v^2 \sin 2\theta}{g}$, where $v$ is the initial velocity, $\theta$ is the launch angle, and $g$ is the acceleration due to gravity (approximately $9.8 m/s^2$ or $32.2 ft/s^2$), we can calculate if the baseball will reach 400 feet. However, to determine if it will clear a 10-foot wall at that distance, we need the trajectory equation. The initial conditions and the question suggest a practical problem that involves both the distance the ball travels horizontally and its height at that distance, which requires more detailed calculations or simulations, typically involving physics equations or a graphing approach. The given information alone, without further calculations or simulations, does not directly confirm whether the ball will clear the wall.

Solve the Problem Using a Graphing Calculator 30∘30 ^ { \circ }30∘

Solve the Problem Using a Graphing Calculator $30 ^ { \circ }$