The second equation of motion of a uniformly accelerated ball along a straight line is stated ass = vft +1/2 at2The dimension of this equation is
Correct answer: D. [L][T-2]
- A. [L]
- B. [T]
- C. [L][T-1]
- D. [L][T-2]
Explanation
The second equation of motion is s = vft + 1/2 at2. The dimension of the first term vft is [L][T-1][T] = [L]. The dimension of the second term 1/2 at2 is [L][T-2][T2] = [L]. Since both terms have the same dimensions, the overall dimension of the equation is [L]. Option D is therefore the correct answer. Options A, B, and C are incorrect as they do not represent the dimensional analysis of the entire equation.
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About Dimensional Analysis
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
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