for a particle in one dimensional motion the instantaneous speed is always equal to the instantaneous velocity .why

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Solution

Dear Student,

Instantaneous velocity is given by the first derivative of distance with respect to time i.e. ,
v_In = dx / dt
Here, the time interval dt is so small that it is assumed that the particle does not change its direction of motion. As a result, both the total path length and magnitude of displacement become equal is this interval of time.
Therefore, instantaneous speed is always equal to instantaneous velocity.

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