Question

2. Mission & Galileo are in the fourth quarter of a basketball game both with 15 points. Mission has a free-throw shot at a horizontal range of 4.52 meters away from the basket. If the player takes a deep breath and calculates her initial velocity to be 6 m/s at an angle of 60 degrees, do they make the shot? In other words, at the peak of the arc will the ball travel high enough to reach the 1.37 meter high hoop.

Answer 1

`\begin{gathered} v_o=\text{ 6m/s} \\ \alpha=60\text{ \degree} \\ y=\text{ 1.37 m} \\ y_(\max )=? \\ This\text{ is a }parabolic\text{ shot} \\ y_(\max )=(v^2_o\sin ^2(\alpha))/(2g) \\ g=9.81m/s^2 \\ y_(\max )=\frac{(\text{ 6m/s})^2_{}\sin ^2(60)}{2(9.81m/s^2)} \\ y_(\max )=1.376\text{ m} \\ y_(\max )\approx\text{ y, hence, the player would make the shot} \end{gathered}`