# Can velocity be positive with a negative displacement? Explain please :)

Yes see explanation

There are two types of quantities, and it is important to know the difference;

- Scalar quantities. These have magnitude ie. size only . For example: temperature.

- Vector quantities, these have BOTH size and direction.

to show the difference:

Now distance is as scalar, but displacement is a vector

if we use vector notation:

So displacement can be negative.

In fact the constant acceleration equations can be written into vector form, thus taking all of this into account.

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Yes, velocity can be positive with a negative displacement. This occurs when an object moves in the opposite direction of its initial position, resulting in a negative displacement, while maintaining a positive velocity. For example, if an object moves forward with a velocity of +5 m/s but then changes direction and moves backward, its displacement becomes negative while its velocity remains positive.

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Yes, velocity can be positive with a negative displacement. This situation occurs when an object moves in the opposite direction of its initial position. Displacement refers to the change in position of an object from its initial position to its final position, regardless of the path taken.

When an object moves in the negative direction (opposite to the positive direction), its displacement is negative. However, if the object is moving with a positive velocity, it means it is traveling in the positive direction, regardless of its displacement.

For example, consider a car initially located at a position of 10 meters, and it moves towards the left (negative direction) and ends up at a position of 5 meters. The displacement of the car is -5 meters (10 meters - 5 meters = -5 meters), indicating that it moved 5 meters to the left. However, if during this motion, the car's velocity is positive (for instance, +10 m/s), it means the car is moving to the right, despite its negative displacement.

In summary, velocity and displacement are related but distinct concepts. Velocity describes the rate of change of an object's position with respect to time and can be positive or negative, indicating the direction of motion. Displacement, on the other hand, refers to the change in position of an object and can also be positive or negative, depending on the direction of motion relative to the starting point. Therefore, it is entirely possible for velocity to be positive while displacement is negative, indicating motion in opposite directions.

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