A point object traverses half the distance with velocity v..
The remaining part of the distance is
covered with velocity v, for the half time and with
velocity v2, for the rest half. The average velocity of
the object for the whole journey is
(1) 2v, (v. + v) / (v. + 2v, + 2v2)
(2) 2v (v, + v) / (v. + V2 + v2)
(3) 2v, (v, + v) / (v, + V2 + 2v.)
(4) 2v, (v. + v) / (v, + 2v+ v)
inric
Answers
Answered by
6
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
=
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