Calculating Power of a person running up stairs

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To calculate the power of a 60.0 kg person running up a flight of stairs with a vertical distance of 4.0 m in 4.2 seconds, the relevant equations are P = W / t and W = Fdcos(Θ). The force (F) is determined by F = ma, where m is mass and a is acceleration due to gravity (9.81 m/s²). By substituting these values into the power equation, the calculation yields a power output of approximately 560 watts. The result appears to be correct based on the provided parameters and calculations.
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Homework Statement


What is the power supplied by a 60.0 kg person running up a flight of stairs a vertical distance of 4.0 m in 4.2 s?
m = 60kg
d = 4m
t = 4.2

Homework Equations


P = W / t
W = Fdcos(Θ)
F = ma

The Attempt at a Solution


Combining the equations above I did (m) (a) (d) / (t) which is (60 * 9.81 * 4) / (4.2) and got an end result of 560 W and I was wondering if this was correct.
 
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