Question

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.

Answer 1

Answer:

   v = 4.1 m / s

Explanation:

Velocity is defined by the relation

          v =$\frac{dx}{dt}$

 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 = $\frac{\Delta x}{\Delta t}$

        Δx = v Δdt + x₀

        h=   4.1 t + 5.5

       

         v = 4.1 m / s

         x₀ = 5.5 m