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The distance travelled by a particle sta...

The distance travelled by a particle starting from rest and moving with an acceleration `(4)/(3) ms^-2`, in the third second is.

A

1) 6m

B

2) 4m

C

3) `frac(10)(3)m`

D

4) `frac(19)(3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
Distance travelled by the particle in nth second .
`S_(mh)= u+(1)/(2)a(2n-1)`
Where u is initial and a is acceleration of the particle .
Here, n = 3, u= 0, `a= (4)/(3)m//s^(2)`
`thereforeS_(3rd)= 0 + (1)/(2)xx(4)/(3)xx(2xx3-1)= (10)/(3)m`
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