The position of a particle changes linearly with time, i. e. as one power of t, as given by the following: h(t) = ( 4.1 t + 5.5 ) meters. Find the speed of the particle, in meters per second.

   v = 4.1 m / s

Explanation:

Velocity is defined by the relation

          v =

 we perform the derivative

         v = 4.1 m / s

Another way to find this magnitude is to see that the velocity on the slope of a graph of h vs t

        v =

        Δx = v Δdt + x₀

        h=   4.1 t + 5.5

         v = 4.1 m / s

         x₀ = 5.5 m

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