A person travels along a straight road for the
first half time with a velocity v1 and the second
half time with a velocity v2. Then the mean
velocity
v
is given by
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Answer:
Let the total distance be d.
Time taken for the first half half distance is t
1
=
2v
1
d
Time taken for the second half of the distance is t
2
=
2v
2
d
Mean velocity =
total time
total distance
v
mean
=
2v
2
d
+
2v
1
d
d
v
mean
=
v
1
+v
2
2v
1
v
2
⇒
v
mean
2
=
v
1
1
+
v
2
1
Given, v
mean
=v
⇒
v
2
=
v
1
1
+
v
2
1
Explanation:
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