Physics - Kinematics Question with Solution | TestHub

A particle moving in the$\mathrm{xy}$-plane experiences a velocity dependent force$\overrightarrow{\mathrm{F}}=\mathrm{k}\left({\mathrm{\upsilon }}_{\mathrm{y}}\hat{\mathrm{i}}+{\mathrm{\upsilon }}_{\mathrm{x}}\hat{\mathrm{j}}\right)$, where${\mathrm{\upsilon }}_{\mathrm{x}}$and${\mathrm{\upsilon }}_{\mathrm{y}}$are the$\mathrm{x}$and$\mathrm{y}$components of its velocity$\overrightarrow{\mathrm{\upsilon }}$. If$\overrightarrow{\mathrm{a}}$is the acceleration of the particle, then which of the following statements is true for the particle ?