Answer:
It is not correct to
say that the average speed of the body is equal to the magnitude of the average
velocity because they have got different meanings. As average speed, \[{{\upsilon
}_{av}}\] = total distance travelled/time taken and magnitude of average
velocity =\[|\overset{\to }{\mathop{{{\upsilon }_{av}}}}\,|\]=|
displacement/time I. As, the distance travelled by a moving body is always
positive and can never be zero or negative; whereas the displacement of body
can be zero, negative or positive. So, distance > displacement.
Hence,
\[{{\upsilon }_{av}}\ge |\overset{\to }{\mathop{{{\upsilon }_{av}}}}\,|\]
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