1. Constant Velocity:
* Relationship: Distance is directly proportional to velocity and time.
* Formula: Distance (d) = Velocity (v) * Time (t)
* Example: If a car travels at a constant speed of 60 miles per hour for 2 hours, it will cover a distance of 120 miles (60 mph * 2 hours = 120 miles).
2. Changing Velocity (Acceleration):
* Relationship: The relationship becomes more complex as velocity changes over time. We need to consider acceleration.
* Formula: Distance (d) = Initial Velocity (v₀) * Time (t) + (1/2) * Acceleration (a) * Time² (t²)
* Example: If a car starts from rest (v₀ = 0) and accelerates at 5 meters per second squared (a = 5 m/s²) for 10 seconds (t = 10 s), the distance covered would be 250 meters.
Key Points:
* Velocity is the rate of change of distance over time. It tells us how fast an object is moving and in what direction.
* Distance is the total length traveled by an object. It's a scalar quantity (magnitude only), meaning it doesn't have direction.
* Acceleration is the rate of change of velocity over time. It tells us how quickly the velocity is changing.
Let me know if you would like more detail on any of these concepts!
