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A particle's position as a function of time is r ( t ) = ( 2 t 3 t ) i ( 4 t 2

A particle's position as a function of time isr(t)=(2t3t)i(4t23t)j) in centimeters.

  1. Determine the displacement, in unit vector notation from t = 1 sec to t = 2 sec.
  2. Calculate the average velocity in that time frame (from 1 2 sec), in unit vector notation.
  3. Determine the magnitude and direction of the instantaneous velocity at t = 1.5 sec.
  4. Determine the magnitude and direction of the instantaneous acceleration at t = 1.5 sec.

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