Question

a body travelling along a straight line traversed one third of the total distance with a velocity 2 m/s for half the time and with velocity 6 m/s for the other half of 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 t1t1then t1=s/34=s12t1=s/34=s12t2t2 be time for next two journeys2s32s3=2t2+6t2=8t2=2t2+6t2=8t2t2=s12t2=s12averagevelocity=TotaldistaneTotaltimeaveragevelocity=TotaldistaneTotaltime=st1+2t2=st1+2t2=ss12+2s12=ss12+2s12=4m/s=4m/sHence b is the correct answer