The displacement of a particle moving along the -axis is given by (in metres

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

The displacement of a particle moving along the

x

-axis is given by

x = 4t^{2} - 3t + 2

(in metres, with

t

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

t = 1\,\text{s}

and

t = 4\,\text{s}

. (b) Using the definition of instantaneous velocity, determine the velocity of the particle at

t = 1\,\text{s}