1. Average Speed:
* Formula: Speed = Distance / Time
* Units: Meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), etc.
* Example: If you travel 100 meters in 20 seconds, your average speed is 100 meters / 20 seconds = 5 m/s.
2. Instantaneous Speed:
* Formula: This requires calculus, specifically the derivative of the position function with respect to time.
* Units: Same as average speed.
* Example: If you have a function that describes your position at any given time (e.g., s(t) = t^2), the instantaneous speed at a specific time (e.g., t=3 seconds) is found by taking the derivative of s(t) and evaluating it at t=3.
3. Velocity (Vector Quantity):
* Formula: Velocity = Displacement / Time
* Units: Meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), etc.
* Example: If you walk 5 meters north and then 5 meters south, your displacement is zero, and therefore your velocity is zero even if you traveled a total distance of 10 meters. Velocity considers direction.
Key Points:
* Distance vs. Displacement: Distance is the total path traveled, while displacement is the straight-line distance between the starting and ending points.
* Speed vs. Velocity: Speed is the rate of change of distance, while velocity is the rate of change of displacement. Velocity has both magnitude (speed) and direction.
In summary, the formula you use to calculate the rate of movement depends on what you're trying to find: average speed, instantaneous speed, or velocity.
