Question

A football place kicker kicks the ball with a velocity of 18.7 m/s at an angle of 37o. How far away from the kicker will the football hit the ground?

Answer 1

Question

$$\begin{array}{l} v_{\perp} = v_{0} \cdot \sin \alpha \\ t = 2 \cdot \frac{v_{0} \cdot \sin \alpha}{g} \\ s = 2 \cdot \frac{v_{0} \cdot \sin \alpha}{g} \cdot v_{0} \cdot \cos \alpha = 2 \cdot \frac{18.7 \cdot \sin 37{}^{\circ}}{9.8} \cdot 18.7 \cdot \cos 37{}^{\circ} = 34.3 \text{ m}. \end{array}$$

Answer: 34.3 meters.