A body moves half of the distance with velocity v1 and Remaining half of the distance with velocity with velocity v2 then calculate average velocity of the body?
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Answer:
When a body moves with velocity V1 for first half of the journey and V2 for remaining half of the journey, its average velocity is given by 2Vav=1V1+1V2 .
Explanation:
Let s be total distance to be traveled
t
0
be the time for which it travels with speed v
0
t
1
/2 be the time for which it travels with v
1
and v
2
using distance=speed ×time :
2
s
=v
1
2
t
1
+v
2
2
t
1
t
1
=
v
1
+v
2
s
…(1)
Average speed =Total distance traveled /Total time
<v>=
t
0
+t
1
s
<v>=
2v
0
s
+
2(v
1
+v
2
)
s
s
<v>=
2v
0
+v
1
+v
2
2v
0
(v
1
+v
1
)
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