To determine the magnitude and direction of the acceleration, we can use the equation:
a=vf−vita = frac{{v_f - v_i}}{{t}}a=tvf−vi
Where:
- aaa is the acceleration
- vfv_fvf is the final velocity
- viv_ivi is the initial velocity
- ttt 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_ivi) = 12.6 m/s (east)
- Final velocity (vfv_fvf) = 9.5 m/s (east)
- Time (ttt) = 10 s
Substituting these values into the equation, we can calculate the acceleration:
a=vf−vita = frac{{v_f - v_i}}{{t}}a=tvf−vi