The second equation of motion of a uniformly accelerated ball along a straight line is stated asS=vit+ ½ at2The dimension of each term of this equation is

Correct answer: A. [L]

  • A. [L]
  • B. [T]
  • C. [L-1]
  • D. [T-1]

Explanation

The second equation of motion is given by S = vit + ½ at2, where S is the displacement, vi is the initial velocity, a is the acceleration, and t is the time. The dimension of displacement (S) is length [L]. Both terms vit and ½ at2 in the equation must also have the dimension of length to ensure dimensional consistency. Therefore, the correct dimension for S is [L]. The other options are incorrect because they do not correspond to the dimension of displacement.

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