# A projectile is shot from the ground at a velocity of 8 m/s and at an angle of (3pi)/4. How long will it take for the projectile to land?

Apr 11, 2016

${t}_{e} = 1 , 15 \text{ s}$

#### Explanation:

$\text{given data:}$
$\alpha = \frac{3 \pi}{4} \text{ projectile angle}$

${v}_{i} = 8 \frac{m}{s} \text{ initial velocity of object}$
$g = 9 , 81 \frac{m}{s} ^ 2$

t_e=?" time elapsed"

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

${t}_{e} = \frac{2 \cdot 8 \cdot 0 , 707}{9 , 81}$

${t}_{e} = 1 , 15 \text{ s}$