A particle moves in a plane such that its velocity at time is v (t)=30 i +(40-10 t) j…

PHYSICS · Subjective · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

A particle moves in a plane such that its velocity at time tt is v(t)=30i^+(40−10t)j^\mathbf{v}(t)=30 \hat{\mathbf{i}}+(40-10 t) \hat{\mathbf{j}} and it passes through the origin at t=0t=0. Determine the acceleration vector a\mathbf{a} and find the time when v⊥a\mathbf{v} \perp \mathbf{a}.

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