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Question

A particle is moving along the curve x=at2+bt+c. If ac=b2, then the particle would be moving with uniform


A

Rotation

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B

Velocity

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C

Acceleration

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D

Retardation

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Solution

The correct option is C

Acceleration


Step 1. Given data

A particle is moving along the curve x=at2+bt+c

ac=b2

Step 2. Finding the acceleration

Velocity is the change in the position with respect to the time.

Acceleration is the change in the velocity with respect to the time.

x=at2+bt+cv=dxdtv=2at+bA=dvdtA=2a [ v is velocity, A is acceleration]

As the value of the acceleration is constant then the particle will move with the uniform acceleration.

Thus, the particle would be moving with uniform Acceleration.

Hence, option C is correct.


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