Question

A particle located at x=0 and time t=0 start moving along the positive X direction with a velocity v that varies as v=alpha under root x. The displacement of the particles varies with time as
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Answer 1

Answer:

acc to ques =

$v \: = \alpha \sqrt{x}$

$\frac{dx}{dt} = \alpha \sqrt{x}$

$\frac{dx}{ \sqrt{x} } = \alpha dt$

intregal both side

$\frac{1}{2 \times {x}^{ \frac{3}{2} } } = \alpha t$