Answer: Each term on the right side has the same dimension as displacement on the left side.
- A Both sides happen to have the same numerical value for any motion
- B Each term on the right side has the same dimension as displacement on the left side
- C The dimensionless constant 1/2 can itself be derived from dimensional analysis
- D The time variable always cancels out of the final dimensional check
Correct answer: B. Each term on the right side has the same dimension as displacement on the left side
Explanation: For an equation to be dimensionally correct, every term being added must share the same dimensions. Here, ut and (1/2)at² both reduce to [L], matching displacement s - though dimensional analysis alone cannot confirm the factor of 1/2.
The 7 SI base units. All derived units (newton, joule, watt, volt, etc.) can be expressed as combinations of these 7 fundamental units raised to various powers.
Concept context
SI base units, dimensional analysis, significant figures, and error propagation. The toolkit every physics calculation relies on.