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Speed and velocity are both terms used to describe the motion of an object, but they have different meanings.

Speed refers to how fast an object is moving and is a scalar quantity. It is the magnitude of the velocity vector. Speed is the distance traveled per unit of time and is always positive or zero. It is typically measured in units like meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). Speed does not have a specific direction associated with it.

Velocity, on the other hand, not only refers to the speed of an object but also includes its direction. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. It specifies both how fast an object is moving and in which direction. Velocity can be positive or negative, depending on the direction of motion. For example, a car moving north with a speed of 40 m/s has a velocity of +40 m/s, while a car moving south with the same speed has a velocity of -40 m/s.

Acceleration, on the other hand, describes how quickly an object's velocity changes. It is the rate of change of velocity over time. Acceleration is also a vector quantity and has both magnitude and direction. When an object speeds up, slows down, or changes its direction, it is experiencing acceleration.

Acceleration is related to both speed and velocity. When the speed of an object changes, it means the object is accelerating. Acceleration can be positive (when an object speeds up) or negative (when an object slows down or decelerates). Velocity changes when there is a change in speed or direction, and that change in velocity over time is acceleration.

In summary:

  • Speed is a scalar quantity that represents the magnitude of motion.
  • Velocity is a vector quantity that includes both the magnitude (speed) and direction of motion.
  • Acceleration is the rate of change of velocity over time and is related to changes in speed and/or direction.
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