Question

A train slows down as it pulls into a station. if the train is moving from your left to your right, what are the directions of the vectors for velocity and acceleration?

Answer 1

The directions of the vectors for velocity and acceleration are in the opposite directions.

• The velocity vector is always in the direction of motion of the object. So, the direction of velocity is in the right from our point of view.
• When there is a positive acceleration in the object the acceleration vector is in the direction of motion of the object. When there is a negative acceleration in the object the acceleration vector is in the opposite direction of motion of the object. So, the direction of velocity is in the left from our point of view.

Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.

Therefore, the directions of the vectors for velocity and acceleration are in the opposite directions.

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