Question

A basketball player throws the ball at the different angles. At which of the following angles will the ball achieve the maximum height? A. 35.0° B. 45.0° C. 65.0° D. 70.0°

Answer 1

Maximum height can be calculated by the formula:

$h_{max}=\frac{v_0^2\sin^2\alpha}{2g}$ , where $v_0$ - initial velocity, $g=9.81$ $m/s^2$ .

$\sin \alpha$ grows if $\alpha \in (0; \frac{\pi}{2})$ so we can conclude that the ball will achieve the maximum height if $\alpha =70.0 \degree$ .