Need help" Question:-An object may have i0 Varying speed without having varying velocity ii) Varying velocity without having varying speed. iii) Non-Zero acceleration without having varying velocity. iv) Displacement of larger magnitude than distance travelled by it What I request is not only the correct answer to this specific problem but explanation on each scenario inter related to uniform/constant as well as varying speed, velocity, distance, displacement , acceleration with time. Almost all the past question papers carry at least two such confusing questions carrying 6 marks.
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speed is the length (magnitude) of velocity if speed changes velocity changes. velocity has a direction, whereas speed is just a length, so velocity can change direction without changing length. This counts as a change in velocity. acceleration is the change in the length and/or direction of velocity, so if there's acceleration, velocity is varying. displacement is distance from a fixed point (usually the origin) so displacement technically could have any value whatsoever, regardless of distance traveled: imagine a particle that starts its trip 1 mile from the origin. But for the purposes of this problem, I suppose they're talking about a particle that starts its trip at the origin, in which case displacement can't be greater than distance traveled...
Let me try to answer the questions :- i) The object can not have varying speed without varying velocity (If speed changes vel changes). i.e wrong. ii) True iii) Wrong iv) Wrong Am I correct?