In a two dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following are necessarily true?a) the average velocity is not zero at any timeb) average acceleration must always vanishc) displacements in equal time intervals are equald) equal path lengths are traversed in equal intervals
Question
In a two dimensional motion, instantaneous speed v0 is a positive constant. Then which of the following are necessarily true?a) the average velocity is not zero at any timeb) average acceleration must always vanishc) displacements in equal time intervals are equald) equal path lengths are traversed in equal intervals
Solution
a) Not necessarily true. The average velocity is the displacement divided by the time. Even if the instantaneous speed is constant, the direction of motion can change, which can result in a zero average velocity.
b) Not necessarily true. Even if the speed is constant, the direction of motion can change, which would result in a non-zero average acceleration.
c) Not necessarily true. Even if the speed is constant, the direction of motion can change, which can result in different displacements in equal time intervals.
d) True. If the speed is constant, then equal path lengths are traversed in equal time intervals, regardless of the direction of motion.
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