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To determine the magnitude and direction of the acceleration, we can use the equation:

a=vf−vita = frac{{v_f - v_i}}{{t}}

Where:

  • aa is the acceleration
  • vfv_f is the final velocity
  • viv_i is the initial velocity
  • tt is the time

Given that the coach is traveling eastward, we'll consider velocities in the positive direction as east and in the negative direction as west.

We have the following information:

  • Initial velocity (viv_i) = 12.6 m/s (east)
  • Final velocity (vfv_f) = 9.5 m/s (east)
  • Time (tt) = 10 s

Substituting these values into the equation, we can calculate the acceleration:

a=vf−vita = frac{{v_f - v_i}}{{t}}

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