**Motion in One Dimension:** Displacement & Velocity

**Motion in One Dimension:**

BJU book: Read Ch. 3 "Motion in one dimension"

The concepts of displacement, speed, and velocity

The "Big Five" equations of motion

__Reading__BJU book: Read Ch. 3 "Motion in one dimension"

__Topics__The concepts of displacement, speed, and velocity

The "Big Five" equations of motion

__Lecture outline:__

Velocity

- Velocity indicates how your location changes with time. It is distance divided by time, as in “miles per hour” or “meters per second”
- We write the formula as follows:

vavg = (x2 – x1) / (t2 – t1)

Acceleration (we will cover this the 2nd session)

- Acceleration indicates how your
__velocity__changes with time. - Positive acceleration means "speeding up". Negative acceleration (i.e. deceleration) means "slowing down".
- We use units of "meters per second per second" or "meters per second squared".
- We write the formula as follows

aavg = (v2 – v1) / (t2 – t1)

The five (5) equations of motion

- These equations are simply derived from the two equations above. There is nothing magical about how they're derived. Your textbook gives the derivation if you want to look at it.
- You will use these 5 equations for the
__next several chapters__! Locate them in your book and mark the page; you will be referring to them over and over again.

Units:

- In Physics problems, you will encounter both metric units and U.S. units.
- Locate the conversion factors in your textbook and dog-ear the page for future reference.
__Meters__uses**"m"**.__Miles__uses**"mi"**. This is important.... so please adopt this spelling in your homework.

__Galileo's Inclined Plane lab, part 1__

- In this exercise we reproduce Galileo's famous inclined-plane experiment using a modern Vernier cart and track set at 3 different angles.
- After collecting the raw data from the 3 different scenarios, we plot distance vs. time and use a best-fit curve to calculate the
of the moving cart at different points on the track, for each scenario.__velocity__ - Then, using this information, we calculate the average
of the cart down the track for each track angle.__acceleration__ - Finally, using the angle of the track we estimate 'g', the acceleration of gravity, and compare with the known value of 9.8 m/sec^2.
- This is exactly what Galileo did using a bronze ball and wooden track with a groove down the middle. Galileo, however, didn't have a movie camera with an electronic timer; his "clock" consisted of allowing water to drip into a container and then weighing the container!

__Galileo Lab Report:__

- Create a "distance-vs-time plot" of the raw data we gathered. You will have 3 plots, one for each ramp angle we used. See the prior-year example below for the required layout, but use this year's data! Suggestion: use circles for one, triangles for another, and squares or diamonds for the remaining plot.
- Label everything and make it look nice & professional.
__Bring this to the next class__, as we will continue working on it for 'part 2' of the lab.

_raw_data__galileo_ramp_experiment_9-7-17.pdf |

_distance_vs_time_plots__galileo_ramp_experiment_9-7-17.pdf |

Use this graph paper:

**http://www.printfreegraphpaper.com/gp/e-i-110.pdf**__Homework__

1._conversions_homework__problems.docx |

1._velocity___distance_homework__problems (Motion in 1D problems).docx |