Throwing a rock - simple mechanics problem

[Glyper]

Homework Statement

A rock was thrown at the angle of 30 degrees against the horizontal surface, being given a velocity $V_0=12m/s$. Find the largest height h and the Z - the range of the throw.

Homework Equations

$h_{max}=\frac{v_0^2\cdot\sin^2\alpha}{2g}$
$Z=\frac{v_0^2\cdot\sin 2\alpha}{g}$

The Attempt at a Solution

$h_{max}=\frac{v_0^2\cdot\sin^2\alpha}{2g}=\frac{144*0,25}{2g}=2m$
$Z=\frac{v_0^2\cdot\sin 2\alpha}{g}=\frac{144\sqrt{3}/2}{9,81}=12m$

Is that OK?

 

[mfb]

Looks fine to me, if you can use those equations directly.

 

[Glyper]

I suppose I will be allowed to :) Thank you.