4. You are told to buy some foods in the market. You walked 12 m East from
home, 12 m North, 6 m West, 6 m South, 6 m West, and finally, 8 m North
to reach the market.
5.
6.
7. A car ran 100 meters from point A to point B,
then 50 meters from point B to point C, and
another 100 meters from point C to point D.
Total length of path = length A to B + length
B to C + length C to D.
= 100 meters + 50 meters + 100 meters
Total length of path = 250 meters
The length of the entire path that the object
travelled is referred to as distance. This
means that the distance travelled by the car
is equal to 250 meters.
34. A. Magnitude (speed)
Example: 60 km/h, North to 40 km/h, North
B. Direction of motion
Example: 60 km/h, North to 60 km/h, South
C. Both magnitude and direction
Example: 60 km/h, North to 40 km/h, South
A change in velocity happens when there
is a change in:
35. Average and
Instantaneous Speed
Average speed is the total
distance travelled divided by
the total time of travel.
Instantaneous speed is the
speed at an instant in time.
36. Average and
Instantaneous Velocity
Average velocity is the total
displacement (final position -
initial position) travelled divided
by the total time of travel.
Instantaneous velocity is the
velocity of an object at an instant
time.
37. Constant motion refers to an object moving with
constant speed or constant velocity.
To have a constant velocity, both speed and
direction must be the same.
38. Wordy Problem Analyze and solve the problem below to develop
your skills in problem solving.
You decided to have a morning jog to keep your body fit.
You jog 100 m East in 150 s, made a left turn and jog 150
m in 180 s, and finally made another left turn for 100 m in
90 s.
1.Make an illustration to represent the problem.
2. What is your average speed for the entire jog?
3. What is your average velocity for the entire jog?
4. How do you compare the magnitude of the average
speed and velocity?
39.
40.
41.
42.
43. Average acceleration refers to
the total change in velocity
divided by the total time taken
for the change. Since the unit of
velocity is meter per second
(m/s), acceleration is expressed
in meter per second per second
(m/s/s). Oftentimes, the unit of
acceleration is written as m/s2.
44. When a moving body
decreases its velocity, it is
said to decelerate. This
negative acceleration is
called deceleration.
Deceleration is the
opposite of acceleration
where the velocity of an
object decreases.
45. Problem: A racehorse coming out from
the gate accelerates from rest to
a velocity of 15 m/s West in 3 seconds.
What is its acceleration?
Changing Motion!
46. 1. It is a continuous change in
position of an object with respect
to a reference point.
A. At rest B
B. Magnitude
C. Motion
D. Reference
47. 2. When is an object considered to be in motion?
I. When its position changes with respect to a point of
reference.
II. When its distance changes with respect to a point of
reference.
III. When its direction changes with respect to a point of
reference.
IV. When its speed changes with respect to a point of
reference.
A. I only C. I, II and III
B. I and II only D. I, II, III and IV
48. 3. Which of the following is true about an object
that travels 5 meters to the left, then 2 meters up,
then another 5 meters to the right?
A. Displacement of the object is equal to 12
meters.
B. Displacement of the object is equal to 12
meters down.
C. Total distance travelled by the object is equal
to 12 meters.
D. Total distance travelled by the object is equal
to 12 meters down.
49. 4. This refers to the speed of an
object at a specific moment in
time.
A. Average Speed
B. Constant Speed
C. Instantaneous Speed
D. Zero Speed
50. 5. If a person runs 100
meters in 10 seconds, what
is his average speed?
A. 2 m/s B. 5 m/s
C. 10 m/s D. 20 m/s
51. 6. A car traveling in a circle has changing
velocity because it is_____.
A. not traveling at a constant speed
B. not traveling in a constant direction
C. traveling too slowly to measure its
velocity
D. traveling in a constant direction at a
constant speed
52. 7. From home, Dong walked 300 m East to visit
Inday. Both Dong and Inday walked another 400
m North and 300 m West. Which of the following
statements is NOT TRUE?
A. Dong went home.
B. Dong travelled a total distance of 1,000 m.
C. Dong’s displacement is zero if they continue
to travel 400 m South.
D. Dong’s displacement is shorter than the
total distance he has travelled.
53. 8. Which of the following statements is TRUE?
I. The distance travelled by an object can be
equaled to its displacement.
II. The displacement of a moving object can be
greater than its distance travelled.
III. The displacement of a moving object is lesser
than its distance travelled.
A. I and II B. II and III
C. I and III D. I, II and III
54. 9. This refers to the rate of
change in velocity of an object.
A. Acceleration
B. Motion
C. Speed
D. Velocity
55. 10. Two boys walked a 200-meter
distance path. It takes 5 minutes for Boy A
to finish while 10 minutes for Boy B. How
do you compare their speed?
A. Boy B is faster than Boy A
B. Boy A is slower than Boy B
C. They have the same speed
D. Boy A is twice faster than Boy B
Editor's Notes
Questions:
1. What is your total distance travelled?
2. Do you have a displacement?
3. What is your displacement?
4. How did you determine the distance and displacement?
1. Compare how fast John walked than Mary.
2. What is the basis of your answer in number 1?
As shown in Figure 7a, the total distance from home to school is 3.0 km while the displacement is 2.0 km, East as shown in Figure 7b.
Suppose you take 0.5 hour to travel from home to school, use the information in Figure 7a and 7b to solve for your average speed and velocity.