Question Detail
Question
A person walks at 2 m/s north on a train that is moving at 10 m/s north relative to the ground. The person's velocity relative to the ground is
Correct Answer
Option C is the correct answer.
Detailed Explanation
This is a case of relative motion in the same direction. The velocity of the person relative to the ground (V_pg) is the vector sum of the velocity of the person relative to the train (V_pt) and the velocity of the train relative to the ground (V_tg). V_pg = 2 m/s + 10 m/s = 12 m/s north.
Hint
The ground sees the combined effect of the person's motion and the train's motion. Since both are in the same direction, their speeds add.