Solve the problem using a graphing calculator.
-Determine which will travel farther: baseball $x$ hit 123 feet per second at an angle of $35 ^ { \circ }$ relative to level ground or baseball y hit 118 feet per second at an angle of $30 ^ { \circ }$.
A) baseball $x$
B) baseball y

Question

Quizplus · Accepted Answer

Baseball $x$ will travel farther because the range $R$ of a projectile is given by the formula $R = \frac{v^2 \sin(2\theta)}{g}$, where $v$ is the initial velocity, $\theta$ is the launch angle, and $g$ is the acceleration due to gravity. For angles between 30 and 45 degrees, a higher launch speed and an angle closer to 45 degrees generally result in a greater range. In this case, baseball $x$ has a higher initial speed and a launch angle closer to 45 degrees than baseball $y$, leading to a greater range.

Solve the Problem Using a Graphing Calculator xxx Hit 123 Feet Per Second at an Angle Of

Solve the Problem Using a Graphing Calculator $x$ Hit 123 Feet Per Second at an Angle Of