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A 6100 kg rocket is set for vertical firing. If the exhaust speed is 1300 m/s, at what rate (in kilograms/second)
must the gas be ejected to supply the thrust needed to give the rocket an initial upward acceleration of 24.0 m/s^2?
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To give the rocket an initial upward acceleration of 24.0 m/s^2, the force
= ma = 6100 kg * 24 m/s^2 (Newton's second law)
must be applied. (The lower index stands for rocket).
This force is produced by the exhausting (ejecting) gases in accordance with the formula
= r*v = r kg/s * 1300 m/s
where "v" is the gases ejecting speed, "r" is the mass rate of the gases and the lower index stands for gases.
So, your equation is = , or, which is the same,
6100*24 = r*1300.
Solve it for the unknown "r" and get the answer.