A particle moves such that its velocity varies with time according to in SI units

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

Problem

A particle moves such that its velocity varies with time according to

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

in SI units. (a) Obtain an expression for its instantaneous acceleration as a function of time. (b) Find the acceleration at

t=1\,\text{s}

. (c) If the particle is at the origin at

t=0

, calculate its displacement between

t=0

and

t=1\,\text{s}