
Philip P. answered 04/12/16
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Motion is a change in position over a change in time. If r(t) represents the position of an object at time t, then:
v(t) = dr(t)/dt
Where v(t) is the velocity at time t, dr(t) is the change in position and dt is the change in time. We have motion if dr(t)/dt ≠ 0. In calculus, dr(t)/dt is the derivative of r wrt t.