3. A rocket is fired and during the cruise in the air the mass fulfils the following equation m(t) = %3D kg and its velocity v(t) = Bt³ + Ct? in m/s. (t is time and A, B, C are constants) -at Ae а. Predict the force as a function of time t. b. Select a certain value of t and calculate its force.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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3. A rocket is fired and during the cruise in the air the mass fulfils the following equation m(t) =
Ae-at
kg and its velocity v(t) = Bt³ + Ct² in m/s. (t is time and A, B, C are constants)
а.
Predict the force as a function of time t.
b. Select a certain value oft and calculate its force.
Transcribed Image Text:3. A rocket is fired and during the cruise in the air the mass fulfils the following equation m(t) = Ae-at kg and its velocity v(t) = Bt³ + Ct² in m/s. (t is time and A, B, C are constants) а. Predict the force as a function of time t. b. Select a certain value oft and calculate its force.
Expert Solution
Step 1

Force is defined as the rate of change of momentum and with the help of calculus we have the formula for force:

F(t)=m(t)dv(t)dt+v(t)dm(t)dt

Using this formula we will solve the problem.

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