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# A body of mass m moving along a straight line covers half the distance with a speed of 2ms−1. The remaining half of the distance is covered in two equal time intervals with a speed of 3ms−1 and 5ms−1 respectively.The average speed of the particle for the entire journey is 38ms−1163ms−183ms−143ms−1

A
163ms1
B
38ms1
C
83ms1
D
43ms1
Solution
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#### Let the total distance travelled by the body is 2s.If t1 is the time taken by the body to travel first half of the distance ,thent1=S2Let t2 be the time taken by the body for each time interval for the remaining hal journey.S=3t2+5t2=8t2So, average speed =totaldistancetravelledtotaltimetaken=2St1+2t2=2SS2+S4=83ms−1

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