The motion of a particle is described by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

x(t)=0.04\cos(4\pi t)

, with

x

in metres and

t

in seconds. The magnitude of its acceleration at

t=\tfrac{1}{12}\,\text{s}

is (a)

6.3\,\text{m/s}^2

(b)

1.6\,\text{m/s}^2

(c)

3.2\,\text{m/s}^2

(d)

4.5\,\text{m/s}^2