* Acceleration is the rate of change of velocity. It tells you how quickly the velocity is changing, and is measured in units like meters per second squared (m/s²) or feet per second squared (ft/s²).
* Velocity is the rate of change of position. It tells you how fast something is moving and in what direction, and is measured in units like meters per second (m/s) or feet per second (ft/s).
To relate acceleration and velocity, you need additional information:
* Time: Acceleration tells you how much velocity changes over a specific time interval. To get velocity from acceleration, you need to know the time the acceleration acts upon the object.
* Initial Velocity: Acceleration tells you how much velocity *changes*, but not the initial velocity the object had. To get the final velocity, you need to know the initial velocity.
Formula:
The relationship between acceleration (a), velocity (v), initial velocity (v₀), and time (t) is given by:
v = v₀ + at
Example:
Let's say an object starts at rest (v₀ = 0 m/s) and accelerates at a constant rate of 2 m/s² for 5 seconds.
Using the formula:
* v = 0 + (2 m/s²) * (5 s)
* v = 10 m/s
Therefore, the final velocity of the object after 5 seconds is 10 m/s.
