1.

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to `v(x) = beta x^(-2 n)` where `beta` and `n` are constant and `x` is the position of the particle. The acceleration of the particle as a function of `x` is given by.A. `- 2 nb^(2) x^(-4n -1)`B. `- 2 nb^(2) x^(-2n +1)`C. `- 2 nb^(2) x^(-4n + 1)`D. `- 2 nb^(2) x^(-2n - 1)`

Answer» `v = bx^(-2xn)`
`(dv)/(dx) = (b) (-2n) x^(-2n - 1)`
`a = v (dv)/(dx) = bx^(-2n) (b) (-2n) x^(-2n - 1)`
`= - 2nb^(2) x^(-4n - 1)`


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