Question Detail
Question
The position y of a particle moving along the y axis depends on the time t according to the equation y = at - bt². The dimensions of the quantities a and b are respectively:
Correct Answer
Option A is the correct answer.
Detailed Explanation
Each term must have dimensions of length [L]. So [a t] = L => [a] T = L => [a] = L T⁻¹. And [b t²] = L => [b] T² = L => [b] = L T⁻². So a has dimensions of velocity, b has dimensions of acceleration.
Hint
Each term in the sum must have the same dimensions as y (length).