Answer to Question #295123 in Mechanics | Relativity for leonardo

Question

Safawi kicked a ball with an initial speed of 20 ms-1 at 30º angle. If the ball experienced a constant vertical acceleration of -9.81 ms-2, calculate the ball’s maximum height and distance. Explain how soccer player could apply the force of summation theory to optimize his kicks performance.  

Answer 1

Given:

$v_0=20\:\rm m/s$

$\theta=30^\circ$

$g=9.81\:\rm m/s^2$

The maximum height

$$h_{\max}=\frac{v_0^2\sin^2\theta}{2g}=\frac{20^2\sin^230^\circ}{2*9.81}=5.1\:\rm m$$

The range

$$L_{\max}=\frac{v_0^2\sin2\theta}{g}=\frac{20^2\sin60^\circ}{9.81}=35.3\:\rm m$$