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A 11.00 kg particle starts from the origin at time zero. Its velocity as a function...

A 11.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by v with arrow = 9t2î + 3tĵ where v with arrow is in meters per second and t is in seconds. (Use the following as necessary: t.)

(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 particle as a function of time.

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