# A projectile is shot from the ground at a velocity of 14 m/s and at an angle of (7pi)/12. How long will it take for the projectile to land?

Feb 9, 2016

${x}_{\max} \cong - 9 , 9898 m$

#### Explanation:

$\alpha = 7 \frac{\pi}{12} \cdot \frac{180}{\pi} = {105}^{o}$
${x}_{\max} = \frac{{v}_{i}^{2} \cdot \sin 2 \alpha}{g}$
${x}_{\max} = \frac{{14}^{2} \cdot \sin 210}{9 , 81}$
${x}_{\max} = \frac{196 \cdot \left(- 0 , 5\right)}{9 , 81}$
${x}_{\max} \cong - 9 , 9898 m$