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31 March, 23:33

A flea walking along a ruler moves from the 45 cm mark to the 27 cm mark. It does this in 3 seconds. What is the speed? What is the velocity?

(Define increasing numbers to be the positive direction and decreasing numbers to be the negative direction.)

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  1. 31 March, 23:59
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    In the calculation of distance we do not take into account the direction of movement. So only magnitude of movement is taken care of.

    On the other hand, in respect of displacement, we take into account even direction of movement along with magnitude.

    Distance covered by flea = 45 - 27 = 18 cm

    Displacement by flea = 27 - 45 = - 18 cm

    Speed = Distance covered / time

    = 18 / 3 = 6 cm / s

    Velocity = - 18 / 3 = - 6 cm / s.
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