Quarter 4
Module 1 Forces and Motion
Projectile Motion
Impulse and Momentum
DEPARTMENT OF EDUCATION
Uniform Accelerated Motion (UAM): Horizontal
Dimension
Uniform Accelerated Motion
(UAM) - means motion with
constant acceleration.
A ball rolling down an incline.
DEPARTMENT OF EDUCATION
Uniform Accelerated Motion (UAM): Horizontal
Dimension
Uniform Accelerated Motion
(UAM) - means motion with
constant acceleration.
Stone falling from tower.
DEPARTMENT OF EDUCATION
Uniform Accelerated Motion (UAM): Horizontal
Dimension
Uniform Accelerated Motion
(UAM) - means motion with
constant acceleration.
1. A ball rolling down an incline.
2. A stone falling from the tower.
3. A bicycle on which you have
applied the brakes.
4. A ball dropped from the top of
a ladder.
5. A toy baby bottle released from
the bottom of a bathtub.
DEPARTMENT OF EDUCATION
Module 1: Force and Motion
OBJECTIVE
1Calculate
the acceleration of the
can rolling down an inclined plane,
given a distance vs. time and
distance vs. time2 graph of its
motion; and
Roll, roll, and
away
DEPARTMENT OF EDUCATION
Module 1: Force and Motion
OBJECTIVE
2Describe the motion of an object
given a distance vs. time or distance
vs. time2 graph.
Roll, roll, and
away
DEPARTMENT OF EDUCATION
ACTIVITY
Roll,
roll, and away
1
Materials
Board/plank ( at least 200 cm long)
Timing device ( stop watch)
Tin can
Stack of books
protractor
DEPARTMENT OF EDUCATION
ACTIVITY
Roll,
roll, and away
1
Procedure
1. Set up an inclined plane by putting one end of the plane on top of stack of books.
Mark the plane for every 40 cm and label these 40 cm, 80 cm, 120 cm, and so on,
starting from the lowest end.
2. Measure the base and the height and calculate the angle of inclination. Use the
formula, ϴ = tan-1 (height / base).
3. Roll the tin can from each labelled point starting with 40 cm mark. Start the timer as
the tin can is released, and stop the timer when the tin can reached the bottom of
the inclined plane.
4. Ask your partner to record the time (t) taken by the tin can to travel each distance (d)
down the plane. Perform the three trials from each mark. Use the table on the next
slide for your data.
DEPARTMENT OF EDUCATION
ACTIVITY
Roll,
roll, and away
1
Procedure
5. Graph d vs. t and then d vs t2.
TABLE 1. Data on the motion of a Rolling Tin Can
Distance
, d (cm)
Time, t(s)
Trial 1 Trial 2
Trail 3
Trail 4
40
80
120
160
200
Angle of inclination ______________
DEPARTMENT OF EDUCATION
Ave
Time2 ,
t2 (s2 )
Guide
Questions
ACTIVITY
Roll,
roll, and away
1
1
How will you describe the graphs of: (a) distance
vs. time?, (b) distance vs. time2 ?
Answer in TG:
The d vs. t graph is a curved line. The d vs. t2 graph is a straight line
inclined to the right.
DEPARTMENT OF EDUCATION
Guide
Questions
ACTIVITY
Roll,
roll, and away
1
2
What is the relationship between distance and
time of travel of the rolling can?
Answer in TG:
The relationship is quadratic.
DEPARTMENT OF EDUCATION
Guide
Questions
ACTIVITY
Roll,
roll, and away
1
3
What is slope of d – t2 graph? What quantity does
the slope of d – t2 graph represent? ( Refer to the
unit of slope)
Answer in TG:
The slope will be solved using the formula ( d2 – d1 ) / ( t22 - t12 ). The
slope of d – t2 graph represents acceleration. ( this can be seen using the
unit m/s2 .
DEPARTMENT OF EDUCATION
Guide
Questions
ACTIVITY
Roll,
roll, and away
1
4
What do the graphs of distance vs. time and
distance vs. time2 suggest?
Answer in TG:
The d – t and d – t2 graph tell that the tin can is accelerating uniformly. It
tells that velocity increases over time. It means that for a regular time
interval, distance is increasing quadratically.
DEPARTMENT OF EDUCATION
ACTIVITY
Roll,
roll, and away
1
Realizations from
the Activity
Acceleration can be solved using the
equation ( d2 – d1 ) / ( t22 - t12 ).
The tin can rolling in the inclined
plane is accelerating uniformly or
moved in UAM.
DEPARTMENT OF EDUCATION
Extension
Discussion
ACTIVITY
Roll,
roll, and away
1
Uniformly Accelerated
Motion (UAM)
a. a = uniform
c. a = number
b. a = constant
DEPARTMENT OF EDUCATION
Extension
Discussion
ACTIVITY
Roll,
roll, and away
1
Uniformly Accelerated
Motion (UAM)
a. vf = vi + a Δt
b. Δx = vi Δt + ½ aΔt2
c. vf2 = vi2 + 2a Δx
d. Δx = ½ (vf + vi2 ) Δt
DEPARTMENT OF EDUCATION
Extension
Discussion
ACTIVITY
Roll,
roll, and away
1
Uniformly Accelerated
Motion (UAM)
a. vf = vi + a Δt
vf = velocity final
b. Δx = vi Δt + ½ aΔt2
vi = velocity initial
c. vf
2=
vi2 +
a = acceleration
2a Δx
Δx = displacement
d. Δx = ½ (vf + vi ) Δt
Δt = change in time
DEPARTMENT OF EDUCATION
Extension
Discussion
ACTIVITY
Roll,
roll, and away
1
If you know 3 of Uniformly
Accelerated Motion (UAM)
variables, you can determine
the 2 other unknown
variables.
DEPARTMENT OF EDUCATION
Extension
Discussion
ACTIVITY
Roll,
roll, and away
1
5 variables
4 equations
know 3
find other 2
1 Happy Physics Student!
DEPARTMENT OF EDUCATION
Uniformly Accelerated Motion
Application
Try Solving this…
A train accelerates to a speed of 20
m/s over a distance of 150 m. Determine the
acceleration ( assume uniform) of the train.
DEPARTMENT OF EDUCATION