Problem: The vector position of a particle varies in time according to the expression r S 5 3.00i ^ 2 6.00t 2 j ^ where r S is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t 5 1.00 s.

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The vector position of a particle varies in time according to the expression r S 5 3.00i ^ 2 6.00t 2 j ^ where r S is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle's position and velocity at t 5 1.00 s.

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