A particle moves in the -plane with coordinates given by and

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

Problem

20. A particle moves in the

x y

-plane with coordinates given by

x=A \cos \omega t \quad

and

\quad y=A \sin \omega t

, where

\mathrm{A}=1.5

meters and

\omega=2.0

radians per second. What is the magnitude of the particle's acceleration? (A) Zero (B)

1.3 \mathrm{~m} / \mathrm{s}^{2}

(C)

3.0 \mathrm{~m} / \mathrm{s}^{2}

(D)

4.5 \mathrm{~m} / \mathrm{s}^{2}

(E)

6.0 \mathrm{~m} / \mathrm{s}^{2}