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