in Traffic Engineering recategorized by
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A car follows a slow moving truck (travelling at a speed of $10$ m/s) on a two-lane two-way highway. The car reduces its speed to $10$ m/s and follows the truck maintaining a distance of $16$m from the truck. On fining a clear gap in the opposite traffic stream, the car accelerates at an average rate of $4 \: m/s^2$, overtakes the truck and returns to its original lane. When it returns to its original lane, the distance between the car and the truck is $16$ m. The total distance covered by the car during this period ( from the time it leaves its lane and subsequently returns to its lane after overtaking) is

  1. $64$ m
  2. $72$ m
  3. $128$ m
  4. $144$ m
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