A point object traverses half the distance with velocity v0. The remaining part of
the distance is covered with velocity v1 for the half time and with velocity v2 for
the rest half. The average velocity of the object for the whole journey is
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Answer:
Let s be the total distance traversed by the point and t
1
the time taken to cover half the distance. Further let 2t be the time to cover the rest half of the distance.
Therefore
2
s
=v
0
t
1
or t
1
=
2v
0
s
(1)
and
2
s
=(v
1
+v
2
)t or 2t=
v
1
+v
2
s
(2)
Hence the sought average velocity
⟨v⟩=
t
1
+2t
s
=
[
2v
0
s
]+[
v
1
+v
2
s
]
s
=
v
1
+v
2
+2v
0
2v
0
(v
1
+v
2
)
Explanation:
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