Moderate

The distance travelled by a body is proportional to the square of time. The body is moving with

Correct answer: A. Uniform acceleration

  • A. Uniform acceleration
  • B. Uniform velocity
  • C. Variable acceleration
  • D. All of the above

Explanation

The correct answer is Uniform acceleration. When the distance travelled by a body is proportional to the square of time, it describes a scenario where the body is undergoing uniform acceleration. This is derived from the equations of motion in classical mechanics, specifically the second equation of motion: s = ut + (1/2)at2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time. In this case, the term involving t2 indicates uniform acceleration. Uniform velocity would result in the distance being linearly proportional to time, while variable acceleration would not produce a simple quadratic relationship.

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