1. Motion Graphs 2 x v a

2. Slope in Kinematics
Velocity is the rate of change of position, i.e. how fast position changes over time. or
Acceleration is the rate of change of velocity, i.e. how fast velocity changes over time. or

3. Motion Graphs for a Car Speeding up from Rest
v(m/s)
x(m)
Slope of x(t) 2 4 6
t(s) 1 3 5
t(s)
For a car that starts at rest (vi=0) and speeds up at a rate of a=6 m/s2.

4. Motion Graphs for a Car Slowing Down to Rest
v(m/s)
x(m)
Slope of x(t) 2 4 6
t(s) 1 3 5
t(s)
For a car that is pushed with a certain velocity (vi>0) and slows down to rest at a rate of a=-6 m/s2.

5. Motion Graphs for a Car Speeding up from Rest
v(m/s)
a(m/s2)
Slope of v(t) 1 3 5
t(s) 1 3 5
t(s)
For a car that starts at rest (vi=0) and speeds up at a rate of a=6 m/s2.

6. Motion Graphs for a Car Speeding up from Rest
v(m/s)
a(m/s2)
Slope of v(t) 1 3 5
t(s) 1 3 5
t(s)
For a car that is pushed with a certain velocity (vi>0) and slows down to rest at a rate of a=-6 m/s2.

7. Slope in Accelerated Motion
x(m)
v(m/s)
a(m/s2)
Slope of v(t)
Slope of x(t)
t(s) 2 4 6 1 3 5
t(s) 1 3 5
t(s)
x v a
slope
slope

8. Slope in Decelerated Motion
x(m)
v(m/s)
a(m/s2)
Slope of x(t)
Slope of v(t)
t(s) 2 4 6
t(s) 1 3 5
t(s) 1 3 5
x v a
slope
slope