Question

A body travelling along a straight line Traversed one third of the total distance with a velocity 4 m per second the remaining part of the distance was covered with a velocity 2 metre per second for half the time and with velocity 6 m per second for other half of the time.What is the mean velocity averaged over the whole time of motion?

Answer 1

Let total distance 's'
Let time coverd for first one third distance be t1t1
then t1=s/34=s12t1=s/34=s12
t2t2 be time for next two journeys
2s32s3=2t2+6t2=8t2=2t2+6t2=8t2
t2=s12t2=s12
averagevelocity=TotaldistaneTotaltimeaveragevelocity=TotaldistaneTotaltime
=st1+2t2=st1+2t2
=ss12+2s12=ss12+2s12
=4m/s=4m/s