After going through this module, you are expected to:
describe the motion of an object in terms of distance or displacement, speed or velocity and acceleration (S7FE-IIIa-1);
perform activities on speed, velocity and acceleration; and
compute for the speed, velocity and acceleration.
4. Learning Competency: Describe the
motion of an object in terms of distance
or displacement, speed or velocity and
acceleration (S7FE-IIIa-1)
After going through this module, you are expected to:
• describe the motion of an object in terms of distance or
displacement, speed or velocity and acceleration (S7FE-IIIa-1);
• perform activities on speed, velocity and acceleration; and
• compute for the speed, velocity and acceleration.
8. It is a continues change in position of an
object with respect to the reference point
Define as change of position in a given
time interval
Reference point - is a place or object used
for comparison to determine if something
is in motion.
9. How far does the object travels?
How fast the object in motion?
Two types of Quantities need to consider:
1. Scalar Quantities - are quantities that are fully described by a
magnitude (or numerical value) alone.
2. Vector Quantities - are quantities that are fully described by both a
magnitude and a direction.
Quantities Scalar or Vector
5 km Scalar Quantities
510 m North Vector Quantities
16 km Scalar Quantities
10 Mile South Vector Quantities
10. 1. 2500 km North Est
2. 178 km
3. 469 miles
4. 55 m South west
5. 44 km going manila
11. How far does the object
travels?
Distance
Displacement
How fast does the object travels?
Speed
Velocity
12. How far does the object travels?
Distance
Distance is a scalar quantity that refers to "how much ground
an object has covered" during its motion.
SI unit for Distance is meter (m)
What is the total distance traveled by the object?
13. How far does the object travels?
Distance
The diagram below shows the position of a cross-country skier at various
times. At each of the indicated times, the skier turns around and reverses the
direction of travel. In other words, the skier moves from A to B to C to D.
Point Measurement
A TO B 180m
B TO C 140m
C TO D 100m
14. Displacement is a vector quantity that refers to "how far out
of place an object is"; it is the object's overall change in
position.
SI unit for Displacement is meter (m)
What is the total distance traveled by the object?
How far does the object travels?
Displacement
15. How far does the object travels?
Displacement
The diagram below shows the position of a cross-country skier at various
times. At each of the indicated times, the skier turns around and reverses
the direction of travel. In other words, the skier moves from A to B to C
to D.
POINT A TO D
140 m rightward
18. How far does the object travels?
Look at the picture given below. An object moves from point
A through B, C, D, E and stops at point F.
• Find final displacement.
• Find the distance that is taken from point A to D.
Point Measurement
A TO B
B TO C
C TO D
22. How
far
does
the
object
travels?
Point Measurement
Displacement Magnitude
A car moving along in a straight highway from point P to point Q to
point R and to point S, then back to point Q and finally to the point R
as shown in the figure below.
a) Find the distance travelled by car.
b) Find the displacement of the car.
24. Speed 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.
Speed shows the relationship of distance and time.
SI unit of speed is m/s
Unit measurement may be m/s km/h and mi/h
Average speed is calculated by dividing the total distance that
something has traveled by the total amount of time it took it to
travel that distance.
How fast does the object travels?
Speed
25. Example: Cyclist covers 15 miles in 2 hours. Calculate his speed.
How
fast
does
the
object
travels?
26. Example: A boy walks at a speed of 4 km/h. How much time
does he take to walk 20 km?
How
fast
does
the
object
travels?
27. 1. If a bus is travelling in a zigzag road that measures
78 km to reach its destination, the bus travels
about 4 h to reach its destination. How far is the
Bus?
2. Determine the value of d if the object is traveling
in the rate of 54 km/h and its time travel is 2 h.
3. A Toyota vios is traveling in an express way whose
speed limit is 60km/h and distance of the exit is
240 km. how long it needs to travel to reach the
exit?
How
fast
does
the
object
travels?
28. Velocity is a vector quantity the rate and direction of
motion. Put simply, velocity is the speed at which something
moves in one direction.
Shows the relationship of Change in position and direction
SI unit of velocity is m/s
Unit measurement may be m/s km/h and mi/h
How fast does the object travels?
Velocity
30. is a vector quantity that is defined as the rate at which an
object changes its velocity. An object is accelerating if it is
changing its velocity.
The definition of acceleration is different from speed
and velocity. Acceleration is defined as the “change in
velocity”. Based on the definition, there must be change
in the velocity of the object. This change can be in the
magnitude (speed) of the velocity or the direction of the
velocity. In daily life, we use the term acceleration for
the speeding up objects and decelerating for the slowing
down objects.
Acceleration the numerical value is in positive while in
deceleration the numerical value is in negative
Acceleration
32. This equation can be used to calculate the acceleration of the
object whose motion is depicted by the velocity-time data table
above. The velocity-time data in the table shows that the object
has an acceleration of 10 m/s/s. The calculation is shown below.
Sample 1. A runner starting from rest reaches a velocity of 9.6m/s
in 2.0s What is the average acceleration
33. Sample 2. A car slows down from 15m/s to 8 m/s in 3.5s What is
the acceleration of the car ?
Acceleration the numerical value is in positive while in
deceleration the numerical value is in negative
Sample 3. A skateboarder has an acceleration of 1.5m/s² Starting
at rest, if he accelerates for 2s what velocity will he reach?
Derived a new formula from the existing formula
34. Sample 2. A car slows down from 15m/s to 8 m/s in 3.5s What is
the acceleration of the car ?
Acceleration the numerical value is in positive while in
deceleration the numerical value is in negative
Sample 3. A skateboarder has an acceleration of 1.5m/s² Starting
at rest, if he accelerates for 2s what velocity will he reach?
Derived a new formula from the existing formula
35. Check
your
understanding
1. Calculate the acceleration of Josh riding his
bicycle in a straight line that speeds up from 4
m/s to 6 m/s in 5 seconds.
2. Ariel dropped a golf ball from her second story
window. The ball starts from rest and hits the
sidewalk 1.5 s later with a velocity of 14.7 m/s.
Find the average acceleration of the golf ball.
36. Check
your
understanding
1. Calculate the acceleration of Josh riding his bicycle in a straight
line that speeds up from 4 m/s to 6 m/s in 5 seconds.
2. Ariel dropped a golf ball from her second story window. The ball
starts from rest and hits the sidewalk 1.5 s later with a velocity of
14.7 m/s. Find the average acceleration of the golf ball.
3. Cody’s car accelerates from 0m/s to 45 m/s northward in
15 seconds. What is the acceleration of the car?
Editor's Notes
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Example: the distance of Point a to point D is 140 m then the displacement is also 140 m because it is in straight line
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0
Can displacement be equal to distance? Yes as long the path is in straight line
Can displacement be greater than distance? No it can be equal but not greater it can be shorter
What if the person when back to its starting position the distance will be doubled but displacement will be 0