# A spaceship at rest relative to a nearby star in interplanetaryspace has a total mass of 2.50 x 104 kg. Its engines fire at t = 0,steadily burning fuel at 76.7 kg/s with an exhaust speed of4.25 x 103 m/s. Calculate the spaceship’s (a) acceleration att = 0, (b) mass at t = 125 s, (c) acceleration at t = 125 s, and(d) speed at t = 125 s, relative to the same nearby star.

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A spaceship at rest relative to a nearby star in interplanetary
space has a total mass of 2.50 x 104 kg. Its engines fire at t = 0,
steadily burning fuel at 76.7 kg/s with an exhaust speed of
4.25 x 103 m/s. Calculate the spaceship’s (a) acceleration at
t = 0, (b) mass at t = 125 s, (c) acceleration at t = 125 s, and
(d) speed at t = 125 s, relative to the same nearby star.

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Step 1

a). Formula to calculate acceleration at time zero seconds is,

Step 2

Use equation (II) in (I),

Step 3

b). Formula to calculate mass of the spa...

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