Question

what is Dv/Ds ? please answer​

Answer 1

From the definitions: v = (ds/dt) and a = (dv/dt) it is seen that dt = (ds/v) = (dv/a) so that v dv= a ds. ... Substituting the expression for v(t) into the definition of velocity and integrating relates the position at any time, t, to the initial velocity, v(0), and the constant acceleration, a: s(t) = v(0)t + at2/2.

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