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: A)L²/T, L³/T² B)L/T², L²/T C)L/T, L/T² D)L³/T, T²/L E)none of these

Question

Quizplus · Accepted Answer

- From the equation, y = at - bt^(2), we know that a must have the dimensions of length divided by time (L/T) because it is multiplying the time term in the equation. - We also know that b must have dimensions of length divided by time squared (L/T²) because it is multiplying the square of time in the equation. - Therefore, the best choice for the dimensions of a and b respectively are L/T and L/T², which is option C.

The Position Y of a Particle Moving Along the Y