Question: A particle travels counterclockwise along a circular horizontal track with radius R=10 m. The position of the particle along the track obeys the following

A particle travels counterclockwise along a circular horizontal track with radius R=10

A particle travels counterclockwise along a circular horizontal track with radius R=10 m. The position of the particle along the track obeys the following equation: s(t) = 2 f + i+3 where s is expressed in meters and t is expressed in seconds. a) Att=2 sec, what is the speed of the particle? Find the vector velocity of the particle in radial- transverse coordinates at this time. b) Find the vector acceleration of the particle in radial transverse coordinates for t= 2 sec. c) Find the velocity and acceleration vectors if the track is modified to be a spiral with radius increasing at a constant rate of 0.1 m/s. s(t)

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