### The Golf Ball is Rolling Away!

#### Objectives

- Learn to calculate an acceleration from distance and time data
- Learn to graph data
- Learn to draw a best fit line to data
- Learn to calculate the slope of a best fit line

#### Instructor Discussion Prior to Laboratory

Cover the basics of graphing a best fit line and determining its slope. Cover the
theory of how a linear line can be gotten from quadratic data.

#### Set Up

Measure a total distance of 25 meters along any constantly sloped road or walkway.
Places rocks or other markers every 5 meters.

#### Experimental Procedure

- Release the golf ball from rest at the start of the downhill course.
- Time the golf ball as it passes each 5 meter mark.
- Record your data in the table below.
- Return to the classroom to continue your work.

#### Table

Elapsed Time/s |
Elapsed Time Squared/s² |
Distance/m |

____________ |
____________ |
0 |

____________ |
____________ |
5 |

____________ |
____________ |
10 |

____________ |
____________ |
15 |

____________ |
____________ |
20 |

____________ |
____________ |
25 |

#### Graphing the Data

- Graph your data on the graph which best fits your data (your instructor will help you
make this decision).

#### Calculations

- Fit a best line to the points.
- Determine the slope.
- Pick two points, one near each end of the best fit line.
- Determine the coordinates of the two points, (x
_{1} , y_{1}) and (x_{2},
y_{2})
- Use the formula for determining the slope from two points to obtain the slope:

m = (y_{2}- y_{1}) / (x_{2}- x_{1})

##### slope m = __________________

- Determine the y-intercept.
- Use the formula for determining the slope from two points to obtain the slope:

(y_{ }- y_{1}) = m(x_{ }- x_{1})

##### y-intercept = _____________

- Determine the acceleration of the golf ball by multiplying the slope by a factor of two:

##### acceleration = 2 * slope = _____________

#### Questions

- What will the distance that the golf ball would travel after 40 seconds at the
acceleration calculated above?

- How long would it take the golf ball to go one kilometer if it continued to accelerate
at the rate calculated above?

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Laboratory revised: 07 March 2000

http://www.comfsm.fm/~dleeling/physics/golfdrop.html