# Unit 1-Kinematics

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14 Νοε 2013 (πριν από 5 χρόνια και 1 μήνα)

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AP Physics

Unit 1
-
Kinematics

& Newton’s Laws

Objectives

1.

Students should understand the general relationships among position, velocity, and acceleration for the motion
of a particle along a straight line so that given a graph of one of the kinematic quantities, posit
ion, velocity, or
acceleration, as a function of time, they can recognize in what time intervals the other two are positive, negative,
or zero, and can identify or sketch a graph of each as a function of time.

2.

Students should understand the special case of

motion with constant acceleration so that they can:

a.

Write down expressions for velocity and position as functions of time, and identify or sketch graphs of
these quantities.

b.

Use the equations v = v
0

+ at, s = s
0

+

v
0
t
+
at
2
/2, and v
2
-
v
0
2

= 2a(s
-
s
0
) to sol
ve problems involving one
-
dimensional motion with constant acceleration.

3.

Students should know how to deal with displacement and velocity vectors so they can:

a.

Relate velocity, displacement, and time for motion with constant velocity.

b.

Calculate the component

of a vector along a specified
ax
is, or resolve a vector into components along
two specified mutually perpendicular axes.

c.

Add vectors in order to find the net displacement of a particle that undergoes successive straight
-
line
displacements.

d.

Subtract displa
cement vectors in order to find the location of one particle relative to another, or
calculate the average velocity of a particle.

e.

Add or subtract velocity vectors in order to calculate the velocity change or average acceleration of a
particle, or the velo
city of one particle relative to another.

4.

Students should understand the motion of projectiles in a uniform gravitational field so they can:

a.

Write down expressions for the horizontal and vertical components of velocity and position as
functions of time, an
d sketch or identify graphs of these components.

b.

Use these expressions in analyzing the motion of a projectile that is projected above level ground with
a specified initial velocity.

5.

Students should be able to analyze situations in which a particle remains

at rest, or moves with constant velocity,
under the influence of several forces.

6.

Students should understand the relation between the force that acts on a body and the resulting change in the
body’s velocity so they can:

a.

Calculate, for a body moving in one

direction, the velocity change that results when a constant force F
acts over a specified time interval.

b.

Determine, for a body moving in a plane whose velocity vector undergoes a specified change over a
specified time interval, the average force that acte
d on the body.

7.

Students should understand how Newton’s Second Law, F = ma, applies to a body subject to forces such as
gravity, the pull of strings, or contact forces, so they can:

a.

Draw a well
-
labeled diagram showing all real forces that act on the body.

b.

W
rite down the vector equation that results from applying Newton‘s Second Law to the body, and take
components of this equation along appropriate axes.

8.

Students

should be able to analyze situations
in

which a body moves with specified acceleration under the

influence of one or more forces so they can determine the magnitude and direction of the net force, or of one of
the forces that makes up the net force, in situations such as the
following
:

a.

Motion up or down with
constant

acceleration

b.

Motion in a horizon
tal circle

c.

Motion in a
vertical

circle

9.

Students should understand the
significance

of the coefficient of
friction

so they can:

a.

Write down the relationship between the normal and frictional forces on a surface.

b.

Analyze situations in which a
body

slides down

a rough inclines plane or is pulled or pushed across a
rough surface.

c.

Analyze static situations
involving

friction to determine under what circumstances a body
will

start to
slip or to calculate the magnitude of the force of static friction.

10.

Students

shou
ld understand Newton’s Third Law so that, for a given force, they can identify the body on which
the reaction force a
ct
s and state the magnitude and
direction

of this reaction.

AP Physics

11.

Students

should be able to apply Newton’s Third Law in analyzing the force of c
ontact between two bodies that
accelerate together along a horizontal or vertical line, or between two surfaces that slide across one another.

12.

Students should know that the tension is constant in a light strin
g that passes over a massless p
ulley and should

be able to use this fact in
analyzing

the motion of a system of two bodies joined by a string.

Date

Topic

Assigned Problems

September

1

Metric System & Conversions

1.4, 1.14, 1.35, 1.41, 1.61

pp. 1
-
21

September

2

Velocity and Acceleration

2.7,

2.48, 2.49, 2.50, 2.53

pp. 25
-
33, 40
-
48

September

6

Graphical Analysis of v and a

2.5, 2.16, 2.28, 2.30, 2.33, 2.42

pp. 33
-
40

September

7

Falling Objects

2.57, 2.58, 2.61, 2.64, 2.72

pp. 48
-
54

September

8

Vectors

3.7, 3.8, 3.15, 3.16, 3.23

pp. 64
-
71

September

9

Projectiles Lab

3.36, 3.39, 3.43, 3.45, 3.48, 3.52

pp. 78
-
87

September

12

Quiz

Relative Motion

3.25, 3.27, 3.30

pp. 72
-
77

September

13

Newton's 1st and 2nd Laws

4.2, 4.3, 4.6, 4.9, 4.12, 4.14

pp. 96
-
109

September

14

Weight & Newton's 3r
d Law

4.17, 4.21, 4.23, 4.26, 4.31

pp.109
-
123

September

15

More on Newton's Laws

4.32, 4.34, 4.36, 4.40

September

16

Friction

4.41, 4.44, 4.49, 4.51

pp.123
-
128

September

19

Quiz

Forces Lab

4.68, 4.72, 4.76

September

20

Static Equilibrium

4.55,
4.58, 4.61, 4.63

pp.128
-
132

September

21

Review

September

22

Test