Serway & Jewett — Angular Momentum: Problem 14

A 5.00-kg particle starts from the origin at time zero. Its velocity as a function of time is given by \(\vec{v} = 6t^2 \hat{i} + 2t \hat{j}\) where \(\vec{v}\) is in meters per second and \(t\) is in seconds. (a) Find its position as a function of time. (b) Describe its motion qualitatively. (c) Find its acceleration as a function of time. (d) Find the net force exerted on the particle as a function of time. (e) Find the net torque about the origin exerted on the particle as a function of time. (f) Find the angular momentum of the particle as a function of time. (g) Find the kinetic energy of the particle as a function of time. (h) Find the power injected into the system of the particle as a function of time.