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 3 m/s and 5m/s respectively. The average speed of the particle for the entire journey is ?
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Answered by
38
average speed cover into equal time intervals = 5+3/2=4
average speed of particle in entire journey =
2/v = 1/2 + 1/4
2/v =3/4
v= 8/3 m/s
hope it helps
average speed of particle in entire journey =
2/v = 1/2 + 1/4
2/v =3/4
v= 8/3 m/s
hope it helps
Answered by
9
The average speed of the particle in entire journey is 8/3ms-1.
Mass of the body = m (GIven)
Speed when half distance is covered = 2m/s (GIven)
Equal time intervals = 3 m/s and 5m/s (GIven)
Let the total distance traveled by the body be = S
Let the time taken by the body to travel first half of the distance be = t-1
vavg = Total Distance / Total Time
t1 = S/2 /2 = S/4
vav = S / t-1 + 2t2
= S / S/4 + 2 (S/16)
= 8/3
Thus, the average speed of the particle is 8/3ms-1
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