This document discusses speed, velocity, and the differences between the two. It provides formulas for calculating speed, velocity, distance, and time. Examples are given for calculating these values for objects moving in one and two dimensions. The key differences between speed and velocity are that speed is a scalar quantity referring to how fast an object is moving, while velocity involves both speed and direction of motion.

1. Speed and Velocity

2. Objectives:
1. Describe the motion of object in terms of
speed and velocity.
2. Design ways to obtain the speed of an
object.
3. Differentiate speed and velocity.

3. Speed
• It is a scalar quantity that refers to "how fast an object is
moving." Speed can be thought of as the rate at which an object
covers distance. A fast-moving object has a high speed and covers
a relatively large distance in a short amount of time. Contrast this
to a slow-moving object that has a low speed; it covers a relatively
small amount of distance in the same amount of time. An object
with no movement at all has a zero speed.

4. Formula
• s = speed
• d= distance traveled
• t = time elapsed
Standard Unit
m/s
Km/hr
miles/hr

5. Example Problem
1. A car travels a distance of 540km in 6 hours. What speed did
it travel at?
2. John is a runner. He runs the 100m sprint in 10s. What speed
did he travel at?
3. The distance between two cities is 144km, it takes me 3hours
to travel between these cities. What speed did I travel at?

6. 4. A girl cycles for 3hrs at a speed of 40 km/h. What
distance did she travel?
5. A train travels at a speed of 16 m/s and travel a distance
of 3200 m, calculate the time it takes the train to complete
this journey.

7. Activity 3.2
1. A whale swims at a constant speed of 8 m/s for 17 s. Calculate the
distance travelled by the whale.
2. A car travels a distance of 360km in 3 hours. Calculate the speed of the
car.
3. John is a runner. He runs the 342m sprint in 9 s. Calculate the John’s
speed.
4. A girl cycles for 59s at a speed of 7 m/s. Calculate the distance she
travels.
5. A bird can fly at 8 m/s how long would it take the bird to travel a
distance of 568m?

8. Seatwork 3. 2
1. A truck travels down the highway at a speed of 110 km/hr. How long
does the trip last if the truck covered 2200 km?
2. A rocket is launched from the launch pad at a speed of 700 km/hr. How
far will the rocket have traveled after 1.0 hour?
3. A swimmer can swim 3360 m in 30 seconds. What is her average speed
in m/s?
4. A car travels a distance of 603km in 3 hours. What speed did it travel at?
5. John is a runner. He runs the 250m sprint in 50s. What speed did he
travel at?

9. Velocity
In describing the motion of an object, we do
not just describe how fast the object moves. We
also consider the direction to where it is going.
Speed with direction is referred to as
VELOCITY.

11. Formula

12. Example:
1. A man walks to East 7 km in 2 hours and 2 km in 1 hour in the same
direction.
2. A car travels North at uniform velocity with a displacement of 100 m in 4
seconds. What is the velocity of the car?
3. Ben walks 10km west to the grocery store. He shops then walks back 10 km
east back to his house. What is his velocity?
4. The dog runs heading North 600m and 200 m South in 100s, what was the
dog velocity?

13. Seatwork
1. You went biking and drove 8km East in 2 hours and
then 3 km West in 1 hour. Solve for your velocity for the
entire journey.
2. Dale walks 500m heading North and then 200m back in
100s. What was his velocity?
3. A car travels with a displacement of 16m South in 4s,
what is the car velocity?

14. Activity 3.3
COPY AND ANSWER!!!
1. Stan walks 10km west to the grocery store. He shops then walks back 5 km east in 5
hours. What was his velocity?
2. Tyler drives 50km north. Tyler then drives back 30km south in 10 hours. What is his
velocity?
3. Brittney travels east 800m and another 200 m in the same direction in 500 s what was
her velocity?
4. Anthony walks to the parlor place for hair cut. He walk 4 km east, he realized he
passed it and then walked 1 km west in 3hr, what was his velocity?
5. Neil travels 8 m east then 8 m west back in 8s. What was his velocity?

15. Review
1. What is the velocity of a car that traveled
total of 75 km north in 1.5 hours?
2. What is the velocity of a plane that traveled
3000 km west from New York to California in
5 hours?

16. Finding the value of displacement and time
𝑣 =
𝑥
𝑡
𝑥 = 𝑣𝑡
𝑡 =
𝑥
𝑣

17. Example
1. It took 3 hours for a train to travel the distance between two cities at a
velocity of 120 km/h E. What is the car displacement between the
two cities?
2. How long would it take for a car to travel a displacement of 200 km
W if it is traveling at a velocity of 50 km/h W?
3. A car is traveling at 100 km/h N. How many hours will it take to
cover a displacement of 750 km N?
4. A rocket is launched from the launch pad at a velocity of 700 km/hr
E. What will the rocket displacement after 1.0 hour?

18. Activity 3.3
1. A plane traveled for about 2 hours at a velocity of 1200 km/h north. What is the
displacement it traveled?
2. A girl is pedaling her bicycle at a velocity of 135 km/h east. What is her
displacement after 3 hours?
3. A girl cycles for 65 s at a velocity of 7 m/s N. Calculate the displacement she
travels.
4. A train travels at a velocity of 16 m/s W with a displacement of 928 m, calculate
the time it takes the train to complete this journey.
5. A car is traveling at 50 km/h N. How many hours will it take to cover a
displacement of 1000 km?

19. Quiz 3.3 Answer
1.x= 6450 km W
t= 50 hr
𝑣 =
𝑥
𝑡
=
6450𝑘𝑚𝑊
50ℎ𝑟
= 129 km/hr W

20. 2. v= 67 m/s N
t= 130s
x=vt
= 67m/s N x 130 s
= 8710 m N

21. 3. v= 100 km/hr S
x= 950km S
𝑡 =
𝑥
𝑣
=
950𝑘𝑚𝑆
100𝑘𝑚/ℎ𝑟𝑆
= 9.5 hr

22. 4. x= 22425 m E
t= 325 s
𝑣 =
𝑥
𝑡
=
22 425𝑚 𝐸
325𝑠
= 69 m/s E

23. 5. v= 30 km/hr W
x= 780 km W
𝑡 =
𝑥
𝑣
=
780 𝑘𝑚𝑊
30 𝑘𝑚/ℎ𝑟𝑊
= 26 hr

24. 6.v= 115 m/s E
t= 250 s
x=vt
= 115 m/s E x 250 s
= 28, 750 m E

25. 7. v= 87 km/hr N
t= 4 hr
x=vt
= 87 km/hr N x 4 hr
= 348 km N

26. 8. v= 12 m/s N
x= 960 m N
𝑡 =
𝑥
𝑣
=
960 𝑚 𝑁
12 𝑚/𝑠𝑁
= 80 s

27. 9.x= 325 km S
t= 25 hr
𝑣 =
𝑥
𝑡
=
325 𝑘𝑚 𝑆
25 ℎ𝑟
= 13 km/hr S

28. 10.v= 126 m/s E
t= 83 s
x=vt
= 126 m/s E x 83 s
= 10, 458 m E