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The description of the movement of bodies by their position, velocity, acceleration (and possibly higher time derivatives, such as, jerk) without concern for the underlying dynamics/forces/causes.
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Object moving in a circular path without accelerating
No its SPEED will remain same, velocity has a direction, it will change, both while entering and leaving.
On the curve, frictional force will balance the centrifugal force. Assuming constant coefficie …
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How does $p=fv$ hold when $v=0$ and an engine is working?
Useful work=0, power DRIVING the engine =0, ALL useful power lost in the form of wasteful energy, example: exhaust gases, heat, sound and all that..
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What theories or formulas are involved with velocity
The rotational motion theory, the kinetic motion theory, the friction theory, and added to further too in special conditions