# A projectile is shot from the ground at a velocity of 8 m/s at an angle of pi/3. How long will it take for the projectile to land?

Mar 30, 2016

$t = 1 , 41 \text{ } s$

#### Explanation:

$g = 9 , 81 \text{ } \frac{m}{s} ^ 2$

${v}_{i} = 8 \text{ } \frac{m}{s}$

$\alpha = \frac{\pi}{3}$

$\sin \alpha = 0 , 866$

$t = \frac{2 \cdot {v}_{i} \cdot \sin \alpha}{g}$

$t = \frac{2 \cdot 8 \cdot 0 , 866}{9 , 81}$

$t = 1 , 41 \text{ } s$