-- Magnitude of the force (or force as a function of time)
-- Distance through which it acted (or position as a function of time)
-- Duration of the time during which it persisted
Work is the product of (force) x (total distance).
Power is (work) divided by (duration of the time).
If the force and distance are functions of time, then I'm not sure how to do it right now,
but I know there's an integral in there somewhere, and I'm not happy about that.
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You would need to know other physical properties to be able to calculate the length. As you would need to know certain properties to be able to calculate the volume, for instance.
You need to know both of them in order to calculate speed.
The best strategy in that situation would be to use what you do know.
In that case, it would be good to know WHAT is given. If NOTHING is given, you really can't calculate.
Power = (work) divided by (time) If you don't know the amount of work, you can calculate it. Work = (force) times (distance).