what is the velocity?

Question

The position of a particle moving along a coordinate line is s = 1/t with s in meters and t in seconds. Find the particle's velocity at  t= 0.1 sec.

Answer 1

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Velocity is the rate of change of position, thus it is defined by the derivative of the position function.

Since s is a function of t, this means v = ds/dt or s'(t)

Since the function is given s = 1/t = t^-1, then v = s'(t) =t^-2 by the power rule of derivatives.

Find the value by substituting the given value of t.