5. POSITION, DISPLACEMENT, AND
AVERAGE VELOCITY
POSITION
It is measured
relative to a
reference point.It has a sign: positive
direction and negative
direction.
6. 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)
7. 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
9. 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
11. 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.
13. 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
14. 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.
19. INSTANTANEOUS ACCELERATION
AND AVERAGE ACCELERATION
ACCELERATION **Positive sign
means in the
positive coordinate
direction
**Negative sign
means the opposite
20. 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