Measuring the Time with A Watch or Chronometer Lab Report

Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School1/7/22, 8(37 AM
Instructions
You can either copy and paste these questions into a word document, or use the “Print Assignment”
button to print a hard copy for yourself. Then complete these assignment questions by hand, or in your
word processor, and upload your full solutions to the Dropbox.
Print Assignment
Part 1: Calculations
There may be many things going on around you that are periodic that you do not even realize!
Perhaps there is an old grandfather clock in your house, with a pendulum swinging back and
forth inside. That pendulum is one example of periodic motion that can be graphed using
trigonometric functions. How about the hands on the face of that same grandfather clock?
They repeat the same pattern every 12 hours, 60 minutes, and 60 seconds. The tides rise and
fall in a periodic fashion, the planets travel around the sun, and the earth rotates on its axis.
These are all examples of periodic motion!
Question 1 (1 point)
Listen
Your assignment is to choose an object, or event, around you that can be represented by
trigonometric functions, then complete the following tasks.
Note: If you are having trouble finding an object or event to use, feel free to e-mail your teacher to discuss possible
options.
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(37 AM
1) Record your event through a series of photographs, a video or another appropriate
method. (For example, if you are using an oscilloscope, include a photo or video of the
sound wave, and a copy of the audio file that you are measuring; If you are using a
website like this one: http://astro.unl.edu/, include a screenshot, or create a video
using Jing).
2) Record the starting y-value of your object or event (when x = 0).
3) Find the period of the object or event.
4) Find the maximum and minimum y-values. You will need to pick a base point to
reference from (usually this is a stationary object that you can measure from. For
example, a stationary dock if measuring the tides).
5) Determine the amplitude of the function.
6) Determine the vertical translation of the function.
7) Use the information gathered to create a function of the form
f (x) = asin (k (x − d)) + c , and a function of the form f (x) = acos (k (x − d)) + c .
8) Graph your functions by hand. (Remember to include appropriate labels, scale, etc.)
9) Using the functions that you have created, determine the y-value at the point
x=
period
3
and x =
5×period
.
6
(For example, if your period is 4π , then x =
4π
3
)
Part 2: Presentation and Reflection
At this point in the course, you have submitted several assignments of various types. For this
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(37 AM
assignment, you may choose how you would like to present your findings. Please remember
that your submission should be appropriate to the course, should be clear and easy to follow,
neat and organized. See the rubric for this assignment for further details.
Question 2 (1 point)
Listen
Be sure your submission answers the following questions as well:
(6 pages at most, include your sources where applicable)
1) Describe in your own words why the object or event you chose is periodic.
2) Explain your process for coming up with the functions that represent your object or
event. Explain the point of reference you chose and why you chose it, how you
measured or gathered the data you need, etc.
3) Explain a method you could use to verify that your functions are accurate (think about
ways you have verified functions before, this may have been done in other units, or
other courses).
4) Reflect on the assignment. What part of the assignment did you find most difficult?
What did you find the easiest? What did you learn while working through this
assignment?
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Assessment – MHF4U n26+ NSA, Advanced Functions, 12, University – Virtual High School
1/7/22, 8(37 AM
Submitting Your Assignment
This is the end of your assignment. After completing all of the questions, upload your work to the
appropriate dropbox.
Print Assignment
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