Jasdeep moves out of bathinda railway station and traversed half the distance with a velocity v1
towards her home situated at a certain distance from the railway station. The remaining part of the
distance was covered with velocity v2 for half the time, and with velocity v3 for the other half of the time. The average speed of jasdeep averaged over the whole time of her motion 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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