Topic
Slides
Minutes
1
Displacement
9
27
2
Vectors
13
39
3
13
39
4
Graphs
10
30
5
Energy
10
30
6
Power
5
15
7
Springs
4
12
8
Shadows
3
9
9
Field of Vision
7
21
10
Colors
3
9
11
Concave mirrors
7
21
12
Convex mirrors
4
12
13
Refraction
5
15
14
Lenses
10
30
15
Optical Power
6
18
Kinematics
Click
Kinematics is the study of the motion of objects without regard
to the forces that produce the motion.
There are six important formulas used in kinematics, four are
defined and two are derived (from the defined ones).
Using the following six formulas, all the problems in
kinematics can be solved:
Defined
Derived
s
= distance
v
= velocity
v
i
= initial velocity
v
f
= final velocity
v
a
= average velocity
t = time
a = acceleration
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Kinematics
Slide:
Remember
When calculating the average velocity
of an entire trip, use the total time of
the trip, even the time while not moving.
3
.
1
Find the velocity of an
object after falling
freely for 3 m.
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3
.
2
Click
t
i
= 2 s to t
f
= 3 s
Use g = 9.8 m/s
2
if you want to be more accurate!
Kinematics
Slide:
3
.
3
A stone is thrown straight up with a velocity of 32 m/s towards
a tree branch that is 25 m high.
With what velocity does the stone hit the branch?
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A)
15 m/s
B)
23 m/s
C)
39 m/s
D)
534 m/s
Kinematics
Slide:
3
.
4
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Kinematics
Slide:
3
.
5
June dropped a stone and measured the time it took to fall
a certain distance. After collecting her data, she plotted the
acceleration versus the time of the falling stone.
Which of the following graphs represents this situation?
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REMEMBER
Falling objects have a constant acceleration.
Kinematics
Slide:
3
.
6
Click
Jack and Jill ride their bikes in an empty parking lot. The graph below
represents the paths of the two cyclists
during a 10 second period.
Which of the following statements is
false
?
A)
At time t = 0, Jill is two meters ahead of Jack.
B)
Jill's speed is always zero.
C)
Between the times t=0 and t=6 s, Jack has a constant speed.
D)
At time t = 8 s, Jack and Jill have the same speed.
E)
At time t = 2 s, Jack and Jill have the same speed.
Note that the slope
represents speed.
Speed = 0
At t = 2 s, Jack’s speed is 1 m/s
but Jill’s speed is 0.
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Kinematics
Slide:
3
.
7
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An automobile is traveling at a constant speed along a highway.
Which set of graphs best illustrates the motion of the automobile?
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Constant
speed
Zero acceleration
This means
zero
acceleration
Kinematics
Slide:
3
.
8
Sitting on a bench, Stefania sees a cyclist ride by in front of her traveling
at constant speed in a straight line. She observed the trajectory of the
reflector that is fastened to a spoke on the front wheel of the bike.
Reflector
Direction of bicycle
Which of the following represents the
trajectory
that Stefania observes
?
Click
Click
Kinematics
Slide:
3
.
9
Kinematics
Slide:
A ball is thrown vertically into the air with an initial velocity of 20 m/s.
How high does it go?
20 m
3
.
10
A ball travels horizontally with an average velocity of 35 m/s.
How far does it go?
Kinematics
Slide:
35 m
35 m
35 m
35 m
140 m
3
.
11
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V
V
H
V
V
V
V
V
V
H
V
V
V
V
V
V
V
V
V
V
V
H
V
V
= 0
V
V
V
V
H
V
V
V
V
H
V
V
V
V
V
V
V
V
Height
Range
The horizontal component of the
velocity
is
constant (
always
the
same
)
The vertical component of the
velocity
is
the
same
as free
fall
The
actual
(or
instantaneous
)
velocity
is
the
vectorial
sum
of the
horizontal and the vertical component
velocities
.
Free fall
Free fall
Projectiles
Projectiles
Slide:
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30
o
. Determine its: a) Height b) Range
Height
Range
3
.
12
Projectiles
Slide:
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30
o
. Determine its: a) Height b) Range
3
.
12
Projectiles
Slide:
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30
o
. Determine its: a) Height b) Range
Height
Range
2 s going up + 2 s coming down
3
.
12
Mike shoots a ball up to his friend Dave who is standing on a
balcony 4.0 m high. Dave misses the ball on its way up but
catches it on its way down as illustrated below.
For how may seconds was the ball in the air
?
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NOTE
For simplicity, you may
use 10 m/s
2
instead
of 9.8 m/s
2
for a.
Units are not shown to
keep the formula simple.
Quadratic
equation
3
.
13
If he would have
caught the ball
Projectiles
Slide:
… and good luck!
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