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Q.

The graph between the displacement x and time t for a particle moving in a straight line is shown in figure. During the interval OA, AB, BC and CD, the acceleration of the particles is 

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a

OA - + ; AB - 0 ; BC - + ; CD - +

b

OA - - ; AB - 0 ; BC - - ; CD - 0

c

OA - - ; AB - 0 ; BC - + ; CD - 0

d

OA - + ; AB - 0 ; BC - - ; CD - +

answer is B.

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Detailed Solution

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According to the question we get,

slope of displacement-time graph gives us instantaneous velocity of a particle.

Hence,

For Curve OA

Slope is positive and decreasing.

So v decreases in positive direction.

Particle is retarding, a will be in negative.

For Curve AB

slope =0 , v is constant .

Particle is moving with zero acceleration , a =0

For Curve BC

slope is positive and increasing, v is also increasing in positive direction.

Particle is accelerating and it will be positive.

For Curve CD

Slope is positive but its constant, so v = constant

Particle is moving with zero acceleration, a = 0

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