A body moves along the X-axis such that its displacement from the origin at time…

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A body moves along the X-axis such that its displacement from the origin at time

t

seconds is given by

x = 5t^{2} - 2t + 1\;\text{metre}.

Answer the following: (a) Find the instantaneous velocity of the body at

t = 2\,\text{s}

. (b) Find the instantaneous velocity at

t = 4\,\text{s}

. (c) Calculate the average velocity of the body between

t = 2\,\text{s}

and

t = 4\,\text{s}

and compare its magnitude with the instantaneous velocities obtained in parts (a) and (b).