Is my speed calculation correct?

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The discussion revolves around calculating the impact speed of an arrow shot from a 30 m high cliff with an initial speed of 25 m/s. The energy conservation equation is applied, combining kinetic and gravitational potential energy. The calculation leads to a final speed of approximately 34.82 m/s just before impact. Participants confirm the accuracy of this result, affirming that the calculations are correct. The conclusion supports the validity of the derived impact speed.
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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?
 
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Yes it looks correct to me.
 

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