# Variables This should be easy -- Matched units on LHS & RHS?

Variable Units
x Meters (m)
v Meters per second (m/s)
t seconds (s)
a Meters per second squared (m/s^2)

These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?

(a) x = vt
Yes or No?

(b) x = vt + 1/2 at^2
Yes or No?

(c) v = at
Yes or No?

(d) v = at + 1/2 at^3
Yes or No?

(e) v^3 = 2ax^2
Yes or No?

(f) t = square root(2x/a)
Yes or No?" itemprop="text">The following table lists four variables along with their units.

Variable Units
x Meters (m)
v Meters per second (m/s)
t seconds (s)
a Meters per second squared (m/s^2)

These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?

(a) x = vt
Yes or No?

(b) x = vt + 1/2 at^2
Yes or No?

(c) v = at
Yes or No?

(d) v = at + 1/2 at^3
Yes or No?

(e) v^3 = 2ax^2
Yes or No?

(f) t = square root(2x/a)
Yes or No?

A B C F are all yes's right and D and E are no's right? If this is correct can someone try walking me through how to show my work for my answer. I can just see with my eyes what is going to work with past experiences but no way to actually describe why.

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BiGyElLoWhAt
Gold Member
Try replacing all the variables with the units associated with it, then carry out the operations. For the first one:
x=vt
m=(m/s)*s
Does that work out?

BiGyElLoWhAt
Gold Member
Also, yes.

DrClaude
Mentor
kng1994, you have to use the homework template when posting a homework question and you absolutely have to write an attempt at a solution.

BiGyElLoWhAt
Gold Member
kng1994, you have to use the homework template when posting a homework question and you absolutely have to write an attempt at a solution.
Seconded. I was tired last night and not paying attention, otherwise I would have (presumably) mentioned that.