Far in space, where gravity is negligible, a 475 kg rocket traveling at 75.0 m/s

Question

Far in space, where gravity is negligible, a 475 kg rocket traveling at 75.0 m/s fires its engines. The figure (Figure 1) shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible. What impulse does the engine impart to the rocket? Express your answer as an integer and include the appropriate units. At what time does the rocket reach its maximum speed? Express your answer to three significant figures and include the appropriate units. What is the maximum speed of the rocket? Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

a) The impulse is the area under the curve

= 1/2*30*1000 = 15000N-s

b) Since the force is always + then v max occurs at 33 s

So I = m*vf - m*vi

so vf = vi + I/m = 75 + 15500/475

vf = 106.57 m/s

c) 106.57 m/s is the maximum speed of the rocket.

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