A professor puts two equations on the board:

(a) v = vo + at and

(b) x = v/(2a), where x is distance in meters (m); v and vo are velocities in meters/second (m/s); a is acceleration in

(meters/second)/second, or meters/second2 (m/s2); and t is time in seconds (s). Are the equations dimensionally correct? Use unit analysis to find out.

THINKING IT THROUGH. Simply insert the units for the quantities in each equation, cancel, and check the units on both sides.