Answer:
We
know that instantaneous speed, \[{{\text{v}}_{\text{1}}}=\frac{ds}{dt}\]Where \[\frac{ds}{dt}\]=
rate of change of distance. The instantaneous velocity,\[{{\vec{v}}_{i}}=\frac{d\vec{s}}{dt}\]
= rate of change of displacement. In one dimensional motion having uniform
acceleration, the direction of velocity does not change with time, only the
magnitude of velocity changes with time. Therefore, \[|d\vec{s}|=\text{ds}\] or\[{{\text{v}}_{\text{i}}}=\frac{ds}{dt}=\frac{|d\vec{s}|}{dt}=|{{\vec{v}}_{i}}|\].
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