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The acceleration of a particle which mov...

The acceleration of a particle which moves along the positive x-axis varies with its position as shown in figure. If the velocity of the particle is `0.8 ms^(-1)` at x = 0, then velocity of the particle at `x = 1.4 m` is `(in ms^(-1))`.

A

1.6

B

1.2

C

1.4

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
b. `a = v(dv)/(dt) rArr int_(u)^(v) vdv = int_(0)^(1.4) adx`
`rArr (v^2-u^2)/2 = Area of a-x graph`
`rArr v^2 = (0.8)^2 = 2(0.4) rArr v = 1.2 ms^(-1)` .
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