11. A body covers half the distance with a velocity 10 m/s and remaining half with a velocity 15 m/s along a straight line. The average velocity will be: (A) 12 m/s (B) 10 m/s (C) 5 m/s (D) 12.5 m/s
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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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