The displacement of a particle is given by `r=A(haticosomegat+hatjsinomegat)`. The motion of the particle is

Options

A. simple harmonic
B. on a straight line
C. on a circle
D. with constant acceleration

Answer

C

Explanation

`vecr=A(haticosomegat+hatjsinomegat)`
`=Acosomegahathati+Asinomegathatj=xhati+yhatj`
`x=Acosomegat`, `y=Asinomegat`
`cos^2omegat+sin^2omegat=1`
`x^2/A^2+y^2/A^2=1impliesx^2+y^2=A^2` (circle)