Physics

Problem

The displacement of a particle moving along the x–axis is given by

x(t)=2t^{2}+3t+1

(where

x

is in metres and

t

in seconds). a. (i) Calculate the average velocity of the particle between

t=1\,\text{s}

and

t=4\,\text{s}

. b. (ii) Find the instantaneous velocity at

t=2.5\,\text{s}

. c. (iii) State whether the motion is uniform or non-uniform, giving a brief reason based on your results.