A particle moves along a straight line so that its position at time seconds is metres.

MATHEMATICS · Multi-part · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves along a straight line so that its position at time

t

seconds is

s(t)=4t^{3}-3t^{2}+2t-5

metres. (i) Find its instantaneous velocity

v(t)

. (ii) Calculate its acceleration at

t=2\text{ s}