To be dimensionally consistent,velocity [L/T],acceleration [L/T²] and time [T] must be related as follows. A) velocity = acceleration $\times$ time B) velocity = acceleration $\times$ time² C) velocity = acceleration² $\times$ time² D) velocity = acceleration² $\times$ time

Question

Quizplus · Accepted Answer

To be dimensionally consistent, the units on both sides of the equation must be the same. Velocity = [L/T], Acceleration = [L/T²], and Time = [T]. To make the units consistent, we need to have acceleration cancel out the units of time in the denominator, which can be achieved by multiplying acceleration with time in the numerator. Therefore, the correct equation is: Velocity = Acceleration x Time which can be written as Velocity = Acceleration F1F1F1S1F1F1F10 time.

To Be Dimensionally Consistent,velocity [L/T],acceleration [L/T2] and Time [T] Must ×\times×

To Be Dimensionally Consistent,velocity [L/T],acceleration [L/T²] and Time [T] Must $\times$