The identifiers for this type of problem are usually very straightforward.

They will start you with a velocity equation, *
v(t)
*, and then they will ask you questions about different types of *
positions
*.

Many students are thrown when they get a velocity equation because they don’t know how a velocity can provide them information about their position. Recall that when you use antiderivatives as an accumulation tool that what you are accumulating is the units of what is “on top”, the *
dy
*units. If your velocity equation, *
v(t)
*, is in terms of $\frac{\textcolor[rgb]{}{m}}{s}=\frac{\textcolor[rgb]{}{\mathit{meters}}}{\mathit{second}}$, then taking the antiderivative of velocity, *
v(t)
*, will give us the *
Net
**
meters
*, over a given time interval, [*
a
**
,
**
b
*].

They will often flat out ask you to find the “*
displacement
*” or your “*
total
**
distance
*traveled”. They can also use language that implies one or the other, and when they do you want to look out for that word “*
total
*” it is normally used when they want the “*
total
* distance traveled”.

How from you’re the starting location are you? This would be displacement.

How far was your *
total
*trip? This would be *
total
* distance.

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