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A 14.00 kg particle starts from the origin at time zero. Its velocity as a function...

A 14.00 kg particle starts from the origin at time zero. Its velocity as a function of time is given by v with arrow = 9t2î + 4tĵ 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.

r =________

(c) Find its acceleration as a function of time.

a=_______m/s^2 (

(d) Find the net force exerted on the particle as a function of time.

F=______N

(e) Find the net torque about the origin exerted on the particle as a function of time.

τ = ________N · m

(f) Find the angular momentum of the particle as a function of time.

L =_______ kg · m2/s

(g) Find the kinetic energy of the particle as a function of time.

K = _________J

(h) Find the power injected into the particle as a function of time.

P=________ W

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