2.26: Trigonometric displacement, velocity and acceleration

0606/21/O/N/19 — Question 5 · 8 marks

A particle is moving in a straight line such that

t

seconds after passing a fixed point

O

its displacement,

s

m, is given by

s = 3\sin 2t + 4\cos 2t - 4

(i)

Find expressions for the velocity and acceleration of the particle at time

t

[3]

(ii)

Find the first time when the particle is instantaneously at rest.

[3]

(iii)

Find the acceleration of the particle at the time found in part (ii).

[2]