# Question #5b0b1

Apr 14, 2017

$105 m$

#### Explanation:

Using the applicable kinematic expression

$h = u t + \frac{1}{2} g {t}^{2}$
where $h$ is the height after time $t$. $u$ is initial velocity and $g$ is acceleration due to gravity.

Inserting giving numbers and remembering that gravity is acting against the direction of motion

$h = 50 \times 7 + \frac{1}{2} \left(- 10\right) {\left(7\right)}^{2}$
$\implies h = 350 - 245$
$\implies h = 105 m$