The jets exert a vertical thrust of = (500) , where is in seconds. The total mas

Question

The jets exert a vertical thrust of = (500) , where is in seconds. The total mass of the man and the jet suit is 108 . Neglect the loss of mass due to the fuel consumed during the lift which begins from rest on the ground.

find speed when t=3sec

I tried using equation

m*v1 + [integral of Fx dt] = mv2

Then from there,

[integral from 0 to 3 sec of] (500*t^(3/2)-9.8) = 108*v2

Then from calculator got v2 = 28.6 m/s

masteringengineering.com says this answers wrong, so I'm wondering where I went wrong?

Explanation / Answer

thrust* time = change in monentum

500*t = 108 * v * (mass is constant)

v = 13.88 m/s

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