A rocket goes from 0 m/s to 40 meters per second squared in 8 s.  A) after 41s, what is it's final speed in m/s? B) What length of time has passed for the rocket to reach a speed of 7100 m/s?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A rocket goes from 0 m/s to 40 meters per second squared in 8 s. 

A) after 41s, what is it's final speed in m/s?

B) What length of time has passed for the rocket to reach a speed of 7100 m/s?

Expert Solution
Step 1

Let constant acceleration of rocket is a.

Given: Initial velocity u=0

Using v=u+at: 

After 8 seconds velocity is 40 m/s. 

So, t=8 seconds and v=40 m/s

     40=0+a×8

     a=408=5 ms2

Now velocity after 41 seconds will be:

 v=u+at

v=0+5×41=205 m/s

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