Similarities:
* All are related to motion: They all describe how an object moves.
* All involve units of measurement: They use units like meters per second (m/s), kilometers per hour (km/h), etc.
* All can be used to calculate other quantities: For example, knowing velocity and time, we can calculate displacement.
Differences:
Speed:
* Magnitude only: Speed tells us how fast an object is moving, but not its direction.
* Scalar quantity: It only has magnitude.
* Example: A car traveling at 60 km/h.
Velocity:
* Magnitude and direction: Velocity tells us how fast an object is moving *and* in which direction.
* Vector quantity: It has both magnitude and direction.
* Example: A car traveling at 60 km/h eastward.
Acceleration:
* Rate of change of velocity: Acceleration describes how quickly the velocity of an object is changing.
* Vector quantity: It has both magnitude and direction.
* Example: A car speeding up from 0 to 60 km/h in 10 seconds has an acceleration of 6 km/h/s.
In Summary:
* Speed: How fast?
* Velocity: How fast and in what direction?
* Acceleration: How quickly the velocity changes?