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# 10.E: Rocket Motion (Exercises)

Exercise $$\PageIndex{1}$$

Derive the integral in section 2.

Exercise $$\PageIndex{2}$$

Integrate equation 10.3.2 to obtain equation 10.3.3

Exercise $$\PageIndex{3}$$

Integrate equation 10.3.3 to obtain equation 10.3.5

Exercise $$\PageIndex{4}$$

Obtain equation 10.3.6

In the following problems, (numbers 5 - 8) assume:

V = 2 km s-1.
m0 = 2000 kg
b = 0.5 kg s-1
f = 90%

Exercise $$\PageIndex{5}$$

What is the maximum speed, and how long does it take to attain it?

Exercise $$\PageIndex{6}$$

How long does it take to reach a speed of 3 km s-1?

Exercise $$\PageIndex{7}$$

How long does it take for the rocket to travel 600 km?

Exercise $$\PageIndex{8}$$

How fast is it moving when it has travelled 300 km?