# Question #cd9ce

Apr 3, 2016

$30 \text{m/s}$

#### Explanation:

The vertical component of the ball's velocity is $v \sin 30$.

Use this equation of motion:

${v}^{2} = {u}^{2} + 2 a s$

This becomes:

$0 = {\left(v \sin 30\right)}^{2} - 2 \times 9.8 \times 11.5$

$\therefore {\left(v \sin 30\right)}^{2} = 225.4$

$v \sin 30 = 15.01$

$v = \frac{15.01}{0.5} = 30.02 \text{m/s}$