A rocket with a specific impulse of 400 s and initial mass of 100 kg is traveling in deep space (i.e., neglect gravity and drag). The thrust is a function of time given by the following expression: where t is time in seconds. Show any necessary calculations and/or provide justification for answer where appropriate. 

1. Draw a free body diagram, label all forces. 

 2. Determine the rocket mass as a function of time, m(t). 

3. What is the rocket's mass at t=4 s? 

4. Write the equation of motion for the rocket (label variables used) 

5. What is the rocket's acceleration at t=3 s?

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1 Free Body Diagram The rocket experiences two main forces Thrust T Directed along the positive xaxi... View the full answer