Lab 1
docx
keyboard_arrow_up
School
The University of Tennessee, Knoxville *
*We aren’t endorsed by this school
Course
222
Subject
Mathematics
Date
Apr 3, 2024
Type
docx
Pages
3
Uploaded by MajorAtom13903
Izabella Harmon
Iharmon1@vols.utk.edu
Exercise 1
The goal of this lab is to give us an introduction to the tools that we will be using along with deepening our understanding of distance time and vectors.
What is the slope of the best fitting straight line? 1.6985 What is the uncertainty (standard error) in this slope?
0.00559578 Do you think that a straight line produces
a good fit to the data? Yes.
What is the average speed and the uncertainty in the average speed of the object? The average speed is the trendline.
Is the object moving with approximately constant speed, or is its speed increasing or decreasing? Justify your answer. (How do you know?) The average speed is constant I can tell because of the slope.
What is the value of the average speed? How does it compare to the slope of the straight-line fit? The average speed is 1.691333 and compared to the slope it is almost the same number but is a little bit bigger.
Exercise 2 What is the slope of the best fitting straight line?
6.3444 What is the uncertainty (standard error) in this slope?
0.000824855 Do you think that a straight line produces a good fit to the data? I do think that the straight line is a good representation of the data because the % error is not high. What is the average speed and the uncertainty in the average speed of the cart? 5.988023952
Is the cart moving with approximately constant speed, or is its speed increasing or decreasing? Justify your answer. I do not think that the cart was moving at a constant speed because the slope was not the same or near the same amount as the average speed.
Exercise 3
How far did you move in the North direction? 4 m
How far did you move in the East direction? 15 m
How would you calculate the North and East components of your displacement vector if you could not use the simulation? Check that you get the same results. I would use the pythagorean and multiply 15.5 by the theta 14.9
If a bird flew from your house to the restaurant in a straight line, what distance would it cover? 19.2 m
In what direction would it fly? Southwest 152.1 degrees How would you calculate the magnitude and direction of the bird's displacement vector if you could not use the simulation? Check that you get the same results. This formula would give you the displacement vector sqrt(9^2 + 17^2)
Use the simulation to find the magnitude and direction of the car's displacement vector:
The car would have traveled 5.8 miles at 121 degrees northwest.
Describe how you use the simulation to add vectors:
In the simulation you would add vectors for each direction given with one starting where one ended till the final point is reached. Then you would draw a vector from the starting point to the ending point to create the displacement vector.
What is the airplane's resultant velocity (magnitude and direction) with respect to the ground? The plane is going 202 m/s at 81.5 degrees northeast.
Reflection: In this lab, I learned how to use excel to create graphs of position vs. time and speed vs. time. Along with how to compare it to standard error to see if it is accurate. I also learned how vectors work and how to use them to find vector displacement. We used an online vector lab to create different vectors for the different situations to find the magnitude and direction of vectors. By using trigonometry you can find the answers without using the simulation.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help