17. A body covers half of its journey with a speed of 50 ms and the other half with a speed of 80
ms-1. What is the average speed during the whole journey?
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1
Answer:
Let the total distance be 2x.
For first half distance :
Speed is 20 m/s
Thus time taken t
1
=
20
x
For second half distance :
Speed is 30 m/s
Thus time taken t
2
=
30
x
Average velocity V
avg
=
t
1
+t
2
2x
⟹ V
avg
=
20
x
+
30
x
2x
=
20+30
2×20×30
=24 m/s
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