12-29. A particle moves along a straight line with an

Chapter 12, Problem 12-30

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QUESTION:

As a train accelerates uniformly it passes successive kilometer marks while traveling at velocities of 2 m/s and then 10 m/s. Determine the train’s velocity when it passes the next kilometer mark and the time it takes to travel the 2-km distance.

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QUESTION:

As a train accelerates uniformly it passes successive kilometer marks while traveling at velocities of 2 m/s and then 10 m/s. Determine the train’s velocity when it passes the next kilometer mark and the time it takes to travel the 2-km distance.

ANSWER:

Step 1 of 3

For constant acceleration, we can utilise the three following equations:

Where  is the final velocity,  is the initial velocity,  is the constant acceleration,  is the time,  and  are the initial and final displacement of a particle, respectively. Where $$s$$ denotes the total distance travelled.

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