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A 2170-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass)...

A 2170-kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force so that its vertical velocity as a function of time is given by v(t)=At+Bt2, where A and B are constants and time is measured from the instant the fuel is ignited. At the instant of ignition, the rocket has an upward acceleration of 1.20 m/s2 and 1.30 s later an upward velocity of 2.24 m/s .

Determine A.

Determine B

At 3.10 s after fuel ignition, what is the acceleration of the rocket?

What thrust force does the burning fuel exert on it, assume no air resistance? Express the thrust as a multiple of the rocket's weight.

What was the initial thrust due to the fuel?

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