A particle moving with uniform acceleration has average velocities
and
over the
successive intervals of time
and
respectively. The value of
will be:
Text Solution
Verified by ExpertsThe correct answer is:
D
Let
be initial velocity and a be the uniform acceleration Average velocities in the intervals
from-
0 to
to
to
are
For constant acceleration

… (i)
… (ii)

… (iii)
Subtracting (ii) from (i), we get

Similarly subtracting (iii) from (ii), we get
… .(v)
Divide (iv) by (v) we get

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