This document provides examples of calculating speed, velocity, acceleration, and deceleration using formulas involving distance, time, and change in velocity. It defines key terms like speed, velocity, and acceleration. Examples include calculating the speed of a car accelerating from 0 to 1609.36m in 25.9 seconds and decelerating from 60 mph to a stop over 6 seconds. Graphs of velocity over time are also presented and examples are given of interpreting the graphs to determine acceleration, deceleration, and distance traveled.

1. STARTER ACTIVITY:
Distance, Speed and
D
Time
Speed = distance (in metres)
time (in seconds) S T
1. Laura covers 2000m in 1,000 seconds. What is her speed?
S = D/T
= 2000m/1000s
= 2 m/s
2. How long would it take to run 100 metres if you run at 10m/s?
T = D/S
= 100m/10m/s
= 10s
3. Steve travels at 50m/s for 20s. D=SxT
= 50m/s x 20s
How far does he go? = 1000m

2. Speed vs. Velocity
Speed is simply how fast you are travelling…
This car is travelling at a
speed of 20m/s
Velocity is “speed in a given direction”…
This car is travelling at a
velocity of 20m/s east

3. Acceleration
Change
in v
Acceleration = change in velocity (in m/s)
(in m/s2) time taken (in s)
A T
E.g:
A Bugatti Veyron can do from 0 – 1609.36m in 25.9 seconds
What is it’s acceleration?
Acceleration = 1609.36 m = 62.14 m/s2
25.9 s

4. Velocity-time graphs – Describe what is
happening as a group!
1) Upwards line =
80 4) Downward line =
60
Velocity
m/s 40
20
0 T/s
10 20 30 40 50
2) Horizontal line = 3) Upwards line =

5. 80
60
Velocity
m/s 40
20
T/s
0
10 20 30 40 50
1) How fast was the object going after 10 seconds?
2) What is the acceleration from 20 to 30 seconds?
3) What was the deceleration from 30 to 50s?
4) How far did the object travel altogether?

6. A car traveling at 60 m/s accelerates to
90 mph in 3 seconds. What is the
car’s acceleration?
Velocity(final) - Velocity(original)
Acceleration =
time
90 m/s - 60 mph
=
3 seconds
30 m/s
=
3 seconds
= 10 m/s2

7. Positive
acceleration
Negative
acceleration

8. A car traveling at 60 mph slams on the breaks to
avoid hitting a deer. The car comes to a safe stop
6 seconds after applying the breaks. What is the
car’s acceleration?
Velocity(final) - Velocity(original)
Acceleration =
time
0 mph - 60 mph
=
6 seconds
- 60 mph
=
6 seconds
= - 10 miles per hour per second