Topic
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Displacement
Vectors
Kinematics
Graphs
Energy
Power
Springs
Shadows
Field of Vision
Colors
Concave mirrors
Convex mirrors
Refraction
Lenses
Optical Power
Slides Minutes
9
27
13
39
13
39
10
30
10
30
5
15
4
12
3
9
7
21
3
9
7
21
4
12
5
15
10
30
6
18
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 =
v =
vi =
vf =
va =
t =
a =
distance
velocity
initial velocity
final velocity
average velocity
time
acceleration
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Kinematics Slide: 3. 1
Remember When calculating the average velocity
of an entire trip, use the total time of
the trip, even the time while not moving.
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3. 2
Find the velocity of an
object after falling
freely for 3 m.
Kinematics Slide: 3. 3
ti = 2 s to tf = 3 s
Use g = 9.8 m/s2 if you want to be more accurate!
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Kinematics Slide: 3. 4
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?
A) 15 m/s
B) 23 m/s
C) 39 m/s
D) 534 m/s
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Kinematics Slide: 3. 5
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Kinematics Slide: 3. 6
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?
REMEMBER
Falling objects have a constant acceleration.
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Kinematics Slide: 3. 7
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.
Note that the slope
represents speed.
At t = 2 s, Jack’s speed is 1 m/s
but Jill’s speed is 0.
Speed = 0
Which of the following statements is false?
A)
B)
C)
D)
E)
At time t = 0, Jill is two meters ahead of Jack.
Jill's speed is always zero.
Between the times t=0 and t=6 s, Jack has a constant speed.
At time t = 8 s, Jack and Jill have the same speed.
At time t = 2 s, Jack and Jill have the same speed.
Click
Kinematics Slide: 3. 8
An automobile is traveling at a constant speed along a highway.
Which set of graphs best illustrates the motion of the automobile?
This means
zero acceleration
Constant
speed
Zero acceleration
Kinematics Slide: 3. 9
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.
Direction of bicycle
Reflector
Which of the following represents the trajectory that Stefania observes?
Click
Kinematics Slide:
3. 10
A ball is thrown vertically into the air with an initial velocity of 20 m/s.
How high does it go?
20 m
Kinematics Slide:
A ball travels horizontally with an average velocity of 35 m/s.
How far does it go?
35 m
35 m
35 m
140 m
35 m
3. 11
Projectiles
The horizontal component of the velocity is constant (always the same)
The vertical component of the velocity is the same as free fall
Free fall
Free fall
VV = 0
VV
VV
VV
VV
VV V
V
VH
VV
V
VVH
V
VV
Height
VH
VH
V
VV
VV
VH
VV
V
V
VV
Range
The actual (or instantaneous) velocity is the vectorial sum of the
horizontal and the vertical component velocities.
Click
Projectiles Slide: 3. 12
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30o. Determine its: a) Height b) Range
Height
Range
Projectiles Slide: 3. 12
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30o. Determine its: a) Height b) Range
Projectiles Slide: 3. 12
A ball is thrown into the air with a velocity of 40 m/s at an angle
of 30o. Determine its: a) Height b) Range
Height
2 s going up + 2 s coming down
Range
Projectiles Slide:
3. 13
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?
NOTE
For simplicity, you may
use 10 m/s2 instead
of 9.8 m/s2 for a.
Units are not shown to
keep the formula simple.
Quadratic
equation
If he would have
caught the ball
Click
… and good luck!