Question

The first half of a certain path is covered with a velocity ‘v’ and the second half is covered with velocity ‘4v’. The average velocity of the journey is-

Answer 1

Given that, the first half of a certain path is covered with a velocity of 'v' and the second half with a velocity of '4v'.

There are two cases in this question, in first half path covered with a velocity of v and in the second half covered with a velocity of 4v.

We have to find the mean velocity of the journey.

Let us assume that the total displacement is 'd'.

For first half:

Time = Displacement/Velocity

t1 = (d/2)/v

t1 = d/2v ................(1st equation)

For second half:

t2 = (d/2)/4v

t2 = d/8v .................(2nd equation)

Total displacement = d

Total time taken = d/2v + d/8v = (4d + d)/8v = 5d/8v

Now,

Mean velocity = d/(5d/8v) = 8vd/5d = 1.6v

Therefore, the mean velocity of the journey is '1.6v' m/s.

Answer 2

Explanation:

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