A body of mass m moving along a straight line covers half the distance with a speed of 2m/s. The
remaining half of the distance is covered in two equal time intervals with a speed of 3m/s and
5m/s respectively, the average speed of the particle for the entire journey is
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Answer:
Let the total distance travelled by the body is 2s.If t
1
is the time taken by the body to travel first half of the distance ,then
t
1
=
2
S
Let t
2
be the time taken by the body for each time interval for the remaining hal journey.
S=3t
2
+5t
2
=8t
2
So, average speed =
totaltimetaken
totaldistancetravelled
=
t
1
+2t
2
2S
=
2
S
+
4
S
2S
=
3
8
ms
−1
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