Is my speed calculation correct?

[madeeeeee]

Homework Statement

Kayleigh is standing on top of a 30 m high cliff shoots a 500 g arrow with a speed of 25 m/s. What is the impact speed of the arrow right before it strikes the ground below? Ignore air resistance and friction.

Homework Equations

Et= Ek+Eg

The Attempt at a Solution

1/2mv1^2 + mgh = 1/2mv2^2

v2^2= Square root of 2(1/2 (25m/s)^2 + (9.8 m/s^2)(30m)
vs^2= 34.82 m/s Is my answer correct?

 

[rock.freak667]

Yes it looks correct to me.