Question

The velocity-displacement graph of a particle moving in a straight line is shown in figure. The acceleration of the particle is

Answer 1

I guess option B

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Answer 2

Answer:

Option(B)

Explanation:

From the graph, velocity - displacement equation can be written as,

v = v₀ + αx {∵ v₀ and α are constant}

Now,

On differentiating above equation w.r.t x, we get

dv/dx = α = constant

Then,

Acceleration of the particle can be written as,

a = dv/dt = vdv/dx = ( v₀ + αx)α

a - x is a linear equation.

Thus, acceleration increases linearly with x.

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