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A particle travels half the distance wit...

A particle travels half the distance with a velocity of `6 ms^(–1)`. The remaining half distance is covered with a velocity of `4 ms^(–1)` for half the time and with a velocity of `8 ms^(–1)` for the rest of the half time. What is the velocity of the particle averaged over the whole time of motion ?

A

`9ms^(-1)`

B

`6ms^(-1)`

C

`5.35 ms^(-1)`

D

`5 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Average velocity for the second half of the distance is `=(v_(1) + v_(2))/(2) = (4 + 8)/(2) = 6ms^(-1)` Given that first half distance is covered with a velocity of `6ms^(-1)`. Therefore, the average velocity for the whole time of motion is `6ms^(-1)`
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Knowledge Check

  • A body travelling along a straight line traversed one third of the total distance with a velocity 4m/s. The remaining part of the distance was covered with a velocity 1 m/s for half the time and with velocity 3 m/s for the other half of time. The mean velocity averaged over the whole time of motion is :

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