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the rate of change of velocity.
Math is used to measure how to put the right shaped parts in the cars.They multiply the flat rate time to do a job by the hourly rate, then double it for an estimate.
It is a measure of how much one variable changes when another variable changes.
A variable is a symbol that represents one or more numbers.
This is done with a process of limits. Average rate of change is, for example, (change of y) / (change of x). If you make "change of x" smaller and smaller, in theory (with certain assumptions, a bit too technical to mention here), you get closer and closer to the instant rate of change. In the "limit", when "change of x" approaches zero, you get the true instantaneous rate of change.