Graphs of motion Distance/Displacement vs time Speed/Velocity vs time Acceleration vs time Relationships (1) • The slope of a distance-time graph represents the speed of an.
Download ReportTranscript Graphs of motion Distance/Displacement vs time Speed/Velocity vs time Acceleration vs time Relationships (1) • The slope of a distance-time graph represents the speed of an.
Slide 1
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 2
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 3
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 4
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 5
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 2
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 3
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 4
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.
Slide 5
Graphs of motion
Distance/Displacement vs time
Speed/Velocity vs time
Acceleration vs time
Relationships (1)
• The slope of a distance-time graph
represents the speed of an object:
Distance (s)
Time (s)
STATIONARY
Distance (s)
Time (s)
FORWARD FAST
Distance (s)
Time (s)
BACKWARD SLOWLY
Relationships (2)
• The slope of a velocity-time graph
represents the acceleration of an object:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
CONSTANT VEL.
Velocity
(m/s)
Time (s)
ACCELERATING
FAST
Time (s)
DECELLERATING
SLOWLY
Relationships (3)
• The area under a velocity-time graph
represents the distance travelled:
Velocity
(m/s)
Velocity
(m/s)
Time (s)
Area = velocity x
time
Velocity
(m/s)
Time (s)
Area = average
velocity x time
Time (s)
Area = average velocity
x time
Example from hyperphysics website
These graphs show the journey of
an object.
The object accelerates away from
its starting position at 4m/s2 for the
first 4 s.
It then travels at a constant velocity
of 16 m/s for 3s.
The object then decellerates at 2m/s2 until it is stopped 15 seconds
into its journey.
It continues to “decellerate” or
travel backwards faster and faster
towards its starting position.
At 23 seconds it is travelling
backwards at 16 m/s but now slows
down and stops after 27 seconds at
a distance of about 60 m from
where it started.