A particle moving in a straight line with uniform acceleration is observed to be a distance 𝑎 from a fixed point initially. It is at distances 𝑏, 𝑐, 𝑑 from the same point after 𝑛, 2𝑛, 3𝑛 second. The acceleration of the particle is

Question : A particle moving in a straight line with uniform acceleration is observed to be a distance 𝑎 from a fixed point initially. It is at distances 𝑏, 𝑐, 𝑑 from the same point after 𝑛, 2𝑛, 3𝑛 second. The acceleration of the particle is

(A) \dfrac{c-2b+a}{n^{2}}

(B) \dfrac{c+a+b}{9n^{2}}

(C) \dfrac{c+2b+a}{4n^{2}}

(D) \dfrac{C-b+a}{n^{2}}

Answer : option (A)

Solution :

A particle moving in a straight line with uniform acceleration is observed to be a distance 𝑎 from a fixed point initially. It is at distances 𝑏, 𝑐, 𝑑 from the same point after 𝑛, 2𝑛, 3𝑛 second. The acceleration of the particle is
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