A particle moves in the plane with velocity vector

PHYSICS · Single correct · ISC · Physics · Kinematics · Kinematics

Problem

A particle moves in the plane with velocity vector v(t)=⟨tsin⁡t, e2t⟩\mathbf v(t)=\langle t\sin t,\,e^{2t}\rangle, where tt is in seconds and the components are in meters per second. What is the magnitude of the particle’s acceleration at t=0t=0? (a) 44 (b) 5\sqrt{5} (c) 22 (d) 2\sqrt{2}

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