A 3.00-kg particle starts from the origin at time zero. Its velocity as a function of time is given by v = (3t^2) i+ (2t) j where v is in meters per second and t is in seconds.
(a) Find its position at t = 1s.
(b) What is its acceleration at t = 1s ?
(c) What is the net force exerted on the particle at t = 1s ?
(d) What is the net torque about the origin exerted on the particle at t = 1s ?
(e) What is the angular momentum of the particle at t = 1s ?
(f) What is the kinetic energy of the particle at t = 1s ?
(g) What is the power injected into the system of the particle at t = 1s ?
please answer them all together since they are related to each other
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