1. Distance - Displacement
Review of Grade 9 Motion
Acceleration
and Vectors (new)
Speed
Velocity

2. Vectors have size and direction,
but no place A
head A A
tail A

3. Two vectors are equal if they have the same magnitudeB A
A = B
Two vectors are equal if they
have the same magnitude
and the same direction
Physical quantities can be split into:
VECTORS:
Have size and direction
e.g. velocity, acceleration, force, displacement
SCALARS:
Have size
(magnitude only)
e.g. time, mass, speed, distance, voltage, energy

4. Identify these quantities as scalars or vectors
Question
QUANTITY
Scalar
Vector 1
distance 2
circumference 3
speed 4
velocity 5
displacement 6
force 7
acceleration 8
time 9
energy 10
momentum
Click q for answers

5. Identify these quantities as scalars or vectors
Question
QUANTITY
Scalar
Vector 1
distance S 2
circumference 3
speed 4
velocity V 5
displacement 6
force 7
acceleration 8
time 9
energy 10
momentum

6. Vectors and Scalars Vector Quantities – have magnitude and direction
Ex: displacement: I walked 20 meters west
Ex: velocity: miles per hour north
Vector – an arrow drawn to scale used to represent a vector quantity
Ex:
Scalar Quantities – have magnitude only, no direction
30 m/s
north
30 m/s east
60 m/s east

8. The symbol Δ refers to finding a change in a set of values
(a final state – an initial state).
eg Δv means vf – vi
Cup of coffee…
Ti = 18°C
Tf = 98.5°C
ΔT = ?
Game of tennis …

9. Distance - Displacement
A model train travels around the track shown below. The table shows its distance and displacement at various stages of the journey around the track.
Distance
travelled (m)
Displacement from
Start (m)
At B 2
2 north
At C 4
8 northeast
At D 6
2 east
Back at A 8

10. Speed
V, units ms-1 scalar

11. Velocity
V, units ms-1, vector

12. Web Link: Speed vs Velocity
Ex: Walking a dog
Which one has greater average velocity??
We need another way to describe motion:
Not a vector! (It’s a scalar)
Web Link: Speed vs Velocity

13. Instantaneous Speed - speed at any given instant in time.
Average Speed - average of all instantaneous speeds; found simply by a distance/time.
(km)

14. *Acceleration is a Vector*
Usually:
+a means speeding up
-a means slowing down +x -x
But Sometimes:
-a means speeding up
+a means slowing down +x -x
Here’s the rule:
If v and a have the same sign : it’s speeding up
If v and a have opposite signs : it’s slowing down

15. Acceleration
a, units ms-2 scalar or vector!
ms-2