To be dimensionally consistent, distance [L], velocity [L/T], and acceleration [L/T²] must be related as follows. A) distance = velocity²/acceleration B) distance = velocity/acceleration C) distance = velocity² × acceleration D) distance = velocity × acceleration²

Question

Quizplus · Accepted Answer

The correct relationship that maintains dimensional consistency is distance = velocity^2/acceleration. This is because when you square velocity ([L/T]^2 = [L^2/T^2]), and divide by acceleration ([L/T^2]), the result is a dimension of length ([L]), which is the dimension for distance.

To Be Dimensionally Consistent, Distance [L], Velocity [L/T], and Acceleration