Throwing a rock - simple mechanics problem

1. Oct 14, 2012

Glyper

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

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

3. 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?

2. Oct 14, 2012

Staff: Mentor

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

3. Oct 14, 2012

Glyper

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