Question #6006

A particle starts at -2m and moves with a constant velocity of 2 m/h. How would I figure out this problem

Expert's answer

Initial position of a body is -2m, its velocity is 2 m/h, so we can write down the equation of motion

<img src="data:image/png;base64,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" alt="">

And can predict the position of a particle at any moment of time.

The distance that particle travels dutind the time t is

<img src="data:image/png;base64,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" alt="">

<img src="data:image/png;base64,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" alt="">

And can predict the position of a particle at any moment of time.

The distance that particle travels dutind the time t is

<img src="data:image/png;base64,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" alt="">

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