Kinnick AP Physics I Unit 2 Two Dimensional Motion

Distance (d)

How far something traveled from one position (di) to another position (df).
Formula:
D = abs(first point + second point... + final point)

Time Interval (?t)

How long an object traveled regarding toward time, from the beginning (ti) to final (tf).
Formula:
?t = tf - ti

Position (x)

Where an object is relative to the time interval (?t).

Displacement (?x)

How much an object traveled from initial position (xi) to final position (xf) in regards to direction.
Formula:
?x = xf - xi

Speed (s)

The amount if distance (d) traveled in a certain time interval (?t).
Formula:
s = d/?t

Velocity (v)

The displacement (?x) of an object, over a time interval (?t).
Formula:
v = ?x/?t

What are two ways to find displacement (?x)?

1.) Finding the area of each time interval on a v-t graph:
v � ?t = ?x
2.) Finding the difference of final and initial position on an x-t graph:
?x = xf -xi

What's the general equation for speed?

df = s � ?t + di

What's the general equation for velocity?

xf = v � ?t + xi

What's the difference between x-t and v-t graphs?

x-t:
> Shows positions (x) in time intervals (?t).
> Indicates initial position (xi).
v-t:
> Shows how much velocity (v) was covered in each time interval (?t).
> Does not indicate initial position (xi).