A particle moving in a straight line covers half the distance with speed of 3 metre per second the other half of distance is covered into equal time intervals with the speed of 4.5 metre per second and 7.5 metre per second respectively find the average speed of the particle during its motion
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t
1
=
3
2
S
=
6
S
2
S
=4.5×t
2
+7.5t
3
⇒12t
2
=
2
S
We have t
2
=t
3
Total time t=t
1
+t
2
+t
3
=
6
S
+
24
S
+
24
S
=
4
S
Average of
t
S
=
4
S
S
=4m/s
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