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The velocity displacement graph of a pa...

The velocity displacement graph of a particle is shown in figure. The acceleration of the particle when `x = 0` is.

A

`(1)/(sqrt(3))m//s^(2)`

B

`-(2)/(sqrt(3))m//s^(2)`

C

`(2)/(3)m//s^(2)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
The velocity …………… ltbRrgt From figure `-tan 30^(@)= (dv)/(dx)`
`:'` acceleration `a = v(dv)/(dx)`
`a = -v tan30^(@)` ltbtgt `at x = 0, v = 2 m//s` (from figure)
`so a = -2 tan 30^(@)`
`a = -(2)/(sqrt(3))m//s^(2)`
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