# A projectile is shot at an angle of pi/3  and a velocity of  7 m/s. How far away will the projectile land?

Mar 3, 2016

${x}_{m} \cong 1 , 873 m$

#### Explanation:

${x}_{m} = \frac{{v}_{i}^{2} \cdot {\sin}^{2} \alpha}{2 \cdot g}$
$\alpha = \frac{\pi}{3} \cdot \frac{180}{\pi} = {60}^{o} \text{ } \sin 60 = \frac{\sqrt{3}}{2}$
${\sin}^{2} \alpha = \frac{3}{4}$
${x}_{m} = \frac{{7}^{2} \cdot 3}{2 \cdot 4 \cdot 9 , 81}$
${x}_{m} \cong 1 , 873 m$