acceleration
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accelerationThe rate at which velocity changes is called "acceleration".
variable velocity can be defined as a moving body whose velocity changes with time
Constant rate of change mean a variable changes constantly over the same time period. Best example is gravity and velocity, which are defined as v=at, where a=gravity=32.2 ft/s2. if you drop an object, after 1 sec, the velocity =32.2 ft/s. After 2 seconds, v= (32.2)*(2)=6.4.4 ft/s, and so on... So, even though gravity is constant, the rate of change in velocity is it doubles every second.
"Rate of change" means how quickly something changes. Examples in physics include a speed as a rate of change of position - if your position changes 10 meters every second, then that (10 meters/second) is your rate of change of position, or your velocity. Or if your income increases by a thousand dollars a year, then that's the rate of change of your income - how quickly your income changes.
Velocity is defined as speed in a certain direction, or vector.