The displacement (in metres) of a particle moving along a straight line after seconds…

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

Problem

The displacement (in metres) of a particle moving along a straight line after

t

seconds is given by the polynomial

s(t)=5t^5-4t^4+3t^2-6t+2

. (i) Obtain expressions for the velocity

v(t)

and acceleration

a(t)

of the particle. (ii) Evaluate

v(2)

and

a(2)

. (iii) Determine the value(s) of

t

for which the acceleration of the particle is zero.