# A projectile is shot from the ground at a velocity of 28 m/s and at an angle of (pi)/2. How long will it take for the projectile to land?

Mar 30, 2016

$t = 5 , 71 \text{ s}$

#### Explanation:

${v}_{i} = 28 \text{ m/s}$
$\mathmr{if} \alpha = \left(\frac{\pi}{2}\right) \text{ ; } \sin \left(\frac{\pi}{2}\right) = 1$

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

$t = \frac{2 \cdot 28 \cdot 1}{9 , 81}$

$t = 5 , 71 \text{ s}$