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Q. Which of the following are true ?
(i) A body having constant speed can have varying velocity.
(ii) Position time graphs for two objects with zero relative velocity are parallel.
(iii) The numerical ratio of velocity to speed of an object can never be more than one.

UPSEEUPSEE 2009Motion in a Straight Line

Solution:

(i) A body having constant speed can have varying velocity as direction may change.
(ii) Position time graphs for two objects with zero relative velocity are parallel.
(iii) For a given time interval, Distance $\geq \mid$ displacement
$\therefore $ Average speed $\geq \mid$ average velocity $\mid$
Therefore, all the options arc true.