Is my speed calculation correct?

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SUMMARY

The discussion focuses on calculating the impact speed of an arrow shot from a 30 m high cliff at an initial speed of 25 m/s. Using the conservation of energy equation, Et = Ek + Eg, the calculation yields an impact speed of approximately 34.82 m/s. The methodology involves applying the kinetic energy formula and gravitational potential energy, confirming the accuracy of the result. The conclusion affirms that the calculated impact speed is indeed correct.

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  • Understanding of conservation of energy principles
  • Familiarity with kinetic energy (Ek) and gravitational potential energy (Eg) equations
  • Basic knowledge of projectile motion
  • Ability to perform algebraic manipulations and square root calculations
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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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