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MOTION ALONG
A STRAIGHT LINE
KINEMATICS
KINEMATICS
It is the classification and comparison
of motions.
KINEMATICS
RESTRICTION
1. Motion along a straight line only
2. Only the motion itself, no forces
involved
3. Moving object to be a particle
POSITION,
DISPLACEMENT,
AVERAGE VELOCITY,
AND AVERAGE SPEED
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
POSITION
It is measured
relative to a
reference point.It has a sign: positive
direction and negative
direction.
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
DISPLACEMENT
It is a change in
position
Example:
From x = 5 m to x = 12
m: ∆x = 7 m (positive
direction)
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
DISPLACEMENT
It is therefore a vector
quantity
Direction: along a single axis, given by sign (+
or -)
Magnitude: length or distance, in this case meters or
feet
CHECKPOINT
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
AVERAGE VELOCITY
It is the ratio of a displacement to the
time interval in which the displacement
occurred.
It has unit of
meters per
second
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
AVERAGE SPEED
It is the ratio of the total distance covered to the
time interval in which the distance was occurred.
Example
A particle moves from x =
3 m to x = -3 m in 2
seconds.
INSTANTANEOUS VELOCITY
AND
SPEED
INSTANTANEOUS VELOCITY AND
SPEED
INSTANTANEOUS VELOCITY
It is obtained from average velocity by shrinking
change in time.
The slope of the position-
time curve for a particle at an
instant
INSTANTANEOUS VELOCITY AND
SPEED
SPEED
It is the magnitude of
velocity.
Example
A velocity of 5 m/s and -5 m/s both
have an associated speed of 5 m/s.
Example
A velocity of 5 m/s and -5 m/s both
have an associated speed of 5 m/s.
CHECKPOINT
INSTANTANEOUS
VELOCITY AND
SPEED
INSTANTANEOUS ACCELERATION,
AVERAGE ACCELERATION,
AND
CONSTANT ACCELERATION
INSTANTANEOUS ACCELERATION
AND AVERAGE ACCELERATION
INSTANTANEOUS ACCELERATION
It is a change in a particle’s
velocity.
AVERAGE ACCELERATION
INSTANTANEOUS ACCELERATION
AND AVERAGE ACCELERATION
ACCELERATION **Positive sign
means in the
positive coordinate
direction
**Negative sign
means the opposite
INSTANTANEOUS ACCELERATION
AND AVERAGE ACCELERATION
If a car with velocity v = -25 m/s is braked to a stop in 5.0 s,
then a = + 5.0 m/s2. Acceleration is positive, but speed has
decreased.
***Accelerations can be expressed in units of
g
1 g = 9.8 meters per second
CHECKPOINT
CONSTANT
ACCELERATION
CONSTANT ACCELERATION
FIRST BASIC EQUATION
When the acceleration is constant, the
average and instantaneous accelerations
are equal.
CONSTANT ACCELERATION
SECOND BASIC EQUATION
CONSTANT ACCELERATION
ADDITIONAL USEFUL
FORMS
CHECKPOINT

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Kinematics