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Kinematics in One Direction Cheat Sheet by

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Displa­cement and Distance

Disp­lac­eme­nt- vector extending from object's initial position to its final position
Dist­ance- scalar quantity repres­enting the actual path followed by an object
Distance equals displa­cement when the object travels in a straight line and does not reverse its direction

Velocity and Speed

Velo­city- vector describing the rate of displa­cement
average velocity = displa­cem­ent­/time
Inst­ant­aneous veloci­ty- velocity at a specific time
Speed- scalar calcul­ating the rate of distance
average speed = distan­ce/­time
If an object travels in a straight line, then speed and velocity are interc­han­geable
 

Accele­ration

Acce­ler­ati­on- rate of change of velocity
accel­eration = change in veloci­ty/­time
Uniform accele­rat­ion- magnitude remains constant; constant accele­rat­ion- magnitude and direction are constant
If accele­ration acts in the same direction as velocity: speed increases
If accele­ration acts in the opposite direction as velocity: speed decreases
If accele­ration acts perpen­dic­ularly to velocity: direction changes
The accele­ration of gravity is 10 m/s2
 

Kinematic Equations

vf2 = vi2 + 2ax
vf = vi + at
x = vi*t + 0.5at2
v=x/t or x=vt

Kinematic Graphs

GRAPH
SLOPE
AREA
Position (or distance) v. time
Velocity
N/A
Velocity v. time
Accele­ration
Displa­cement (change in position)
Accele­ration v. time
N/A
Change in velocity

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