SOLUTION: Is the equation v = v0 + at dimensionally consistent, where v and v0 are velocities, a is acceleration and t is time. (answer: consistent) Hint: note that addition or subtraction

Question 505437: Is the equation v = v0 + at dimensionally consistent, where v and v0 are velocities, a
is acceleration and t is time. (answer: consistent)
Hint: note that addition or subtraction the same units has NO effect on the units. For
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Yes. The unit of v is (length)/(time) (SI unit would be m/s), v_0 would have the same unit. The units of a are (length)/(time^2) (m/s^2), and time is given as a "time" (s), so the units of at would be (length)/(time) or m/s. The units are consistent.
RELATED QUESTIONS
a is acceleration v0 is initial velocity (speed), v is final velocity t0 is initial (answered by solver91311)

particle starting with initial speed v0 has constant acceleration a, then its speed after (answered by solver91311)

Hi, this problem was made up by trigonometry teacher, can you please help me. If a... (answered by Mathtut)

The voltage in a circuit is decaying according to the function V(t) = V0e^-0.48t, where... (answered by fractalier)

Fireworks Problem... t: elapsed time in seconds v0: initial upward velocity in feet per (answered by mbarugel)

2. Automotive engineers refer to the time rate of change of acceleration as the � jerk.�... (answered by richard1234)

Nicki used the equation v = at + vo, where v is the velocity at time t, a is the... (answered by Fombitz)

8. Answer the question. You will need to use the formula 4.9t2 + v0t = s, where t is the... (answered by nerdybill)

In physics, one learns that the height of an object thrown upward from an initial height... (answered by Boreal)