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Speed and velocity are both measurements related to the motion of an object, but they have distinct meanings.

Speed refers to the rate at which an object covers distance. It is a scalar quantity and only considers the magnitude of the motion. Speed is calculated by dividing the distance traveled by the time taken, and its unit is typically meters per second (m/s) or kilometers per hour (km/h).

Velocity, on the other hand, is a vector quantity that includes both magnitude and direction. It describes the rate of change of an object's position. In addition to considering how fast an object is moving, velocity also indicates the direction of its motion. Velocity is calculated by dividing the displacement (change in position) by the time taken. Its unit is also typically meters per second (m/s) or kilometers per hour (km/h).

To summarize:

  • Speed is a scalar quantity that represents how fast an object is moving.
  • Velocity is a vector quantity that represents how fast and in what direction an object is moving.

Acceleration is the rate of change of velocity with respect to time. It is related to both speed and velocity. When an object undergoes acceleration, there is a change in its speed, velocity, or both.

If the speed of an object changes, it means there is acceleration. However, acceleration can also occur even if the speed remains constant but the direction of motion changes. For example, when a car moves in a circular path at a constant speed, it experiences acceleration due to the change in its velocity (direction), even though its speed remains constant.

In summary:

  • Acceleration is the rate of change of velocity.
  • Acceleration can occur due to changes in speed, changes in direction, or both.
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