- Dimensional Analysis
- Free-fall Experiment
- Average Speed and Velocity
- Instantaneous Speed and Velocity
- Bullet Time
- Acceleration
- General 1D Motion Equation
- 1D Free-fall Demonstration
- Vectors
- Decomposition of Vectors
- Dot Product
- Cross Product Using Determinants
- Cross Product Using Corkscrew
- Dot Product and Cross Product
- Velocity in Kinematics Problems
- Velocity
- Acceleration of Gravity
- One-Dimensional Kinematics
- Constant Acceleration
- Dimensions of Displacement

- Half Time vs. Half Distance
- Acceleration Curves
- Collision of Dropped Balls
- Car and Motorcycle
- Displacement
- Vertical Motion
- Position and Velocity
- Relative Velocity
- Relative Position
- Falling Stones
- Falling Balls
- Kinematics
- Measurement of g
- One-Dimensional Kinematics: Track Event
- Relative Inertial Frames
- Plane Round-Trip
- Airplane Against Wind
- Motion in One-Dimension
- Slowing a Speeding Car
- Rocket Flight
- Jumping Man
- Space Shuttle
- 3D and 1D Kinematics
- Velocity and Acceleration

Definition and use of units to show that free-fall time is proportional to √(h) and 1/√(g).

8.01

*Physics I: Classical Mechanics,*Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 1 (22:15 - 27:02)
Dimensional Analysis

Measurements of falling times for different heights and comparison to dimensional analysis.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 1 (27:02 - 37:25)
Free-fall Experiment

Definitions and distinctions between the two, using graph on board.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (0:00 - 6:56)
Average Speed and Velocity

Definition of instantaneous velocity using tangent line to a graph, and of instantaneous speed using velocity from graph.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (6:56 - 11:04)
Instantaneous Speed and Velocity

Average velocity example using bullet in demonstration.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (11:04 - 17:33)
Bullet Time

Average acceleration equation with example and two short demos; acceleration as v' and x''; and finding sign of acceleration from a graph.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (17:36 - 27:22)
Acceleration

Definition of average acceleration; definition of instantaneous acceleration, with examples; uniformly accelerated motion, with examples.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Finding acceleration as a function of time from equations for position.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

- Complete exam problem 4
- Check solution to exam problem 4

Kinematics equations for x, v, and a for constant a; example using gravity.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (34:18 - 41:20)
General 1D Motion Equation

Free-fall of object, using strobe-lighting of 2 frequencies to show increasing v.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 2 (41:20 - 51:08)
1D Free-fall Demonstration

Distinction between vectors and scalars; addition and subtraction of vectors.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 3 (0:00 - 7:54)
Vectors

Decomposition of 3D vector into components and use of angles θ and φ with example.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 3 (7:54 - 13:43)
Decomposition of Vectors

Dot product formulas using components and using cos(θ), with two brief examples.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 3 (13:43 - 19:42)
Dot Product

Calculation of the cross product using the determinant of a component matrix, with the determinant explicitly expanded.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 3 (19:42 - 23:30)
Cross Product Using Determinants

Cross product calculation using sin(θ); finding direction by corkscrew method; and importance of right-handed coordinates.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 3 (23:30 - 30:19)
Cross Product Using Corkscrew

Definition of dot product, with example; properties of cross products.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 9 (3:43 - 10:55)
Dot Product and Cross Product

Average velocity in 1D kinematics; constructing velocity graph from x vs. t.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Watch video clip from Lecture 9 (21:09 - 26:42)
Velocity in Kinematics Problems

Ideal particle simplification; definition of average velocity, with examples; definition of instantaneous velocity, with examples; uniform linear motion; speed of rifle bullet example.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

Definition, including equation of motion due to gravity, with examples.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

Calculating v(t) and a(t) from x(t); interpreting zeroes of x, v, and a; and graphing x vs. t.

- Watch video clip from Lecture 2 (27:22 - 34:18)
Worked 1D Kinematics Example

Worked example of kinematics problem; determining x, v, and a at all times from graph of x vs. t.

- Watch video clip from Lecture 9 (10:55 - 21:09)
1D Kinematics Problem

10-part 1D kinematics problem; finding and graphing x, v, a.

- Complete practice problem 10
- Check solution to practice problem 10

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

Relative velocity and acceleration defined; special case of constant acceleration.

Displacement, velocity, and acceleration of objects moving in one dimension. Solution not included.

- Complete practice problem 1–2

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

4-part problem; finding position, acceleration, and average speed from v vs. t. Solutions are given below the problems.

- Complete exam problem 1

Area under acceleration vs. time graph; area under velocity vs. time graph; velocity as the integral of acceleration; position as the integral of velocity, with example.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

Showing consistency of dimensions, and finding new dimensions for scaled-up equation.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

- Complete practice problem 2
- Check solution to practice problem 2

5-part 1D kinematics; one person walks half time and runs the other; the other person walks half distance and runs the other.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

- Complete practice problem 3
- Check solution to practice problem 3

Sketching velocity curves within displacement and acceleration parameters.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

- Complete practice problem 4
- Check solution to practice problem 4

3-part problem; graphing and finding time to collision for balls dropped consecutively.

8.01

*Physics I*, Fall 2003

Prof. Stanley Kowalski

**Course Material Related to This Topic:**

- Complete practice problem 5
- Check solution to practice problem 5

One dimensional motion of two vehicles.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 1
- Check solution to practice problem 1

Comparing the displacement of an object and its distance traveled. Solution not included.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 1

Motion of a ball thrown vertically. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 2

Determining velocity from a position vs. time graph. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 3

Difference in speed between two falling stones. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 4

Difference in position between two falling stones. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 5

Time interval between two falling stones hitting the ground. Solution not included

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 6

Velocities of two vertically thrown balls. Solution not included.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 7

Relative motion of two falling stones.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 2
- Check solution to practice problem 2

Measuring the acceleration of gravity by timing a falling ball.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 2
- Check solution to practice problem 2

Motion of two runners in a race.

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete practice problem 2
- Check solution to practice problem 2
- Complete exam problem 1
- Check solution to exam problem 1

**Course Material Related to This Topic:**

Motion of a falling object in an elevator viewed from multiple reference frames.

- Complete practice problem 1
- Check solution to practice problem 1

Calculating travel time dependent and independent of wind.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete practice problem 16
- Check solution to practice problem 16

3-part problem; calculating time for round trip, average velocity, and average speed. Solutions are given below the problems.

**Course Material Related to This Topic:**

- Complete exam problem 1

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

Position, velocity, and acceleration of a runner.

- Complete exam problem 1
- Check solution to exam problem 1

8.01T

*Physics I,*Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, and Prof. Bernd Surrow

**Course Material Related to This Topic:**

Definition of kinematics; coordinate system in one dimension; definitions of position, displacement, average velocity, instantaneous velocity, average acceleration, instantaneous acceleration.

Modelling the motion of a person catching a streetcar.

- Complete practice problem 4
- Check solution to practice problem 4

Motion of two cars, one at constant velocity and the other decelerating.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

- Complete exam problem 8
- Check solution to exam problem 8

Vertical motion of a rocket.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

- Complete exam problem 9
- Check solution to exam problem 9

Motion of and forces acting on a jumping basketball player.

8.01L

*Physics I: Classical Mechanics*, Fall 2005

Dr. George Stephans

**Course Material Related to This Topic:**

- Complete exam problem 5
- Check solution to exam problem 5

Average speed of a space shuttle during fuel consumption.

8.01T

*Physics I*, Fall 2004

Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

**Course Material Related to This Topic:**

- Complete exam problem CQ3
- Check solution to exam problem CQ3

3-part 3D kinematics and 2-part 1D kinematics problem about a moving particle.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete exam problem 2
- Check solution to exam problem 2

6-part 1D kinematics of moving particle involving calculation and graphing of velocity and acceleration.

8.01

*Physics I: Classical Mechanics*, Fall 1999

Prof. Walter Lewin

**Course Material Related to This Topic:**

- Complete exam problem 3
- Check solution to exam problem 3