Distance and Displacement Lab - PBworksamcknight.pbworks.com/w/file/fetch/48792239/motion_book.pdf · Distance and Displacement Lab ... Now diagram the last walk and indicate displacement

Distance and Displacement Lab Note! In this lab when you measure, round all measurements to the nearest meter! 1. Place a piece of tape where you will begin your walk outside. This tape marks the origin. 2. Walk 10 steps forward and stop. Using the meter stick, have your partner measure the distance you walked. Write that distance here: _______________ (don’t forget units!) 3. Now turn 180 degrees and walk 5 steps and stop. Using the meter stick, have your partner measure the distance you walked. Write that distance here: _______________ (don’t forget units!) 4. Now turn 180 degrees and walk 20 steps and stop. Using the meter stick, have your partner measure the distance you walked. Write that distance here: _______________ (don’t forget units!) 5. Finally, have your partner measure how far you are from the origin. Write that measurement here: _______________ This is your measured displacement. 6. Figure out the distance and calculated displacement you walked. Add all measurements to find the distance: _________________ Add all forward measurements and subtract all backwards measurements to find the calculated displacement: ________________ Did your measured displacement match your calculated displacement? ________ 7. Find your piece of tape again, and walk 10 steps forward and measure how far you walked. Write it here: _________ (don’t forget your units!) 8. Turn 90° left, walk 15 steps and measure how far you walked. Write it here: _______ 9. Turn 90° left, walk 10 steps and measure how far you walked. Write it here: _______ 10. Turn 90° left, walk 20 steps and measure how far you walked. Write it here: _______ 11. Have your partner measure how far you are form the origin. Write it here: ________ This is your measured displacement. 12. Now figure out your distance and write it below. Show your work. Add up the measurements you wrote in numbers 7 through 10. Distance = __________ Now figure out your calculated displacement and write it below. Show your work. Add number 7 + number 8 then subtract number 9 and number 10. Calculated Displacement = ________ Does your calculated displacement match your measured displacement? ______ 13. Find your piece of tape again, and walk 20 steps forward. Measure how far you walked and write it here: ___________ 14. Turn 90° right and walk 20 steps. Measure how far you walked and write it here: __ 15. Have your partner measure how far you are from the origin, your measured displacement, and write it here: ______ (Turn this page over and continue.)

16. Now figure out your distance and write it below. Show your work. Add number 14 and 15. Distance = ______________ Here’s a way to figure out your calculated displacement. You can use Pythagoras’ Theorem! Add the square of number 13 and the square of number 14. Write it here:____________ Now square the distance you measured in number 15 (your measured displacement). Write it here: ____________The two numbers should be equal or nearly so. If you have a calculator, find the square root of the value you found for the sum of the square of #13 and square of #14. This value is your calculated displacement. Does it match your measured displacement (or nearly so)? 17. Now diagram the last walk and indicate displacement with a vector arrow. Show all your measured distances and displacements on the diagram. 18. Show with the same diagram how you used Pythagoras’ theorem to find your calculated displacement. Label the square of each leg of your triangle on the diagram. 19. Can you explain why Pythagoras’ Theorem can be used to find the calculated displacement in your last walk? Hint: you made a 90 degree turn on your walk. 19. Explain why displacement is a vector quantity.

..................................................................................Name(s)_____________________________________________

Speed and the Two-Step

Objective: In this lab, you will measure and graph your speed and acceleration as you walk from one point to another.

Step 1: Marking Your Space . You will use the hallway or some other large area to measure a distance using string and a meter stick. For our class, we can skip this step because the tiles on the floor are exactly 1 ft x 1 ft.Use masking tape to mark a section of tile that equals 20 feet. We will be going into the hallway for part of this experiment. Do not disturb other classes.

Step 2: Speed of a Shuffle Have one person in your group “shuffle” the length. This means the person’s feet should never leave the ground, so to move you will need to slide your foot in front of the other. This should be a very slow pace. Another person in the group should time how long it takes (in seconds) to move the 20 feet and record it in the data table.that you can get an average.

Step 3: Speed of a Heel-to-Toe Walk This time, you can lift your foot, but must walk by placing one foot exactly at the toe of the other foot with each step. This should also be a fairly slow pace because your steps are tiny.

Step 4: Normal Walk For this trial, you can step normally across the length. Try to keep your pace constant.

Step 5: Repeat this process by switching to the other person in your group

***From this point on, you will be doing the work on your own. *** Step 5: Conversions for Fun – use the ratio to determine how fast you walk (use average) in a minute

Now convert your feet per minute to feet per hour (there are 60 minutes in an hour)

Finally, determine your speed in miles per hour using this ratio1 mile = 5380 feet. Set up a ratio similar to those above.

Step 6: Graph your data . Compare the AVERAGE for each of the 3 walks you and your partner did (shuffle, heel-to-toe, and normal) by making a BAR graph. You may want to use different colors to distinguish between you and your partner.

Name of Person Walking: Trial (Person 1) Time to Move

20 ft Speed (feet/s)

Shuffle (trial 1) Shuffle (trial 2) Shuffle (trial 3)

Average Heel-to-Toe (trial 1)

Heel-to-Toe (trial 2)


Average Normal Walk (trial 1)

Normal Walk (trial 2)


Average Name of Person Walking: Trial (Person 1) Time to Move

20 ft Speed (feet/s)

Shuffle (trial 1) Shuffle (trial 2) Shuffle (trial 3)

Average Heel-to-Toe (trial 1)



Average Normal Walk (trial 1)



Average

The moving man Procedure – Go to http://www.colorado.edu/physics/phet and find “The Moving Man” simulation under the category of “motion.” 1. After “The Moving Man” is open leave the position graph and the velocity graph open but close the acceleration graph by clicking the symbol in the upper righthand corner of the graph. Investigate Moving Man by dragging the dude around with your mouse. This will give you very jumpy data, especially in the acceleration graph – why? Now try making the man move using the slider arrows. Use the playback features to look at the graphs. While you make observations, discuss in your group the reasons the graphs look the way they do. 2. Making predictions: on your paper, sketch six of the following graphs. Label them A – F. For each of the six scenarios below, in one color, PREDICT what the distance vs. time and velocity vs. time will look like. Don’t be afraid to be wrong – and don’t cheat by looking at Moving Man first! Leave some space for explanations beside or below each graph.

A) A man moving from the center of the screen (0 m) to the house (8m) at a slow, steady pace.

Explain your reasoning for the appearance of the graphs:

B) A man moving from 0 to the house at a faster pace than above.


C) A man standing still at 4 m.


D) A man moving from 0 to the house at a fast pace then moving back to 0 at a slower pace.

Explain your reasoning for the appearance of the graphs: 5. Individually write a possible scenario for the following graph. Then compare your scenario with your lab partners to check if it is reasonable.

time

Name:______________________________Date:____________Hour:________

Calculations with Velocity and Acceleration

Read and solve each of the following problems. Be sure to show all of your work (given, equation, work, and answer with the proper units)

Velocity Equations:

1. What distance is traveled by a police car that moves at a constant speed of 2.5 m/s for 20s?

Given: Equation & Work: v= d= t=

Answer:______________________

2. What is the speed of a horse that travels 45 m in 2 minutes? (remember to convert minutes to seconds) Given: Equation & Work: v= d= t= Answer:______________________

3. How long would it take for a commercial jet to get from St. Louis to New York, a distance of 1,406 km, if it travels at an average velocity of 156 m/s. (You will also need to do some conversions here to match your units)

Given: Equation & Work: v= d= t=

Answer:______________________

Acceleration Equations:

4. A skier takes off from the top of the ski run a nd reaches a speed of 24 m/s in 4 seconds. What is the skier’s acceleration?

Given: Equation & Work: vi = vf = t = a = Answer _________________

5. A child on a skateboard is traveling at a veloc ity of 8 m/s down a hill. At the bottom of the hill, he slows down and comes to a stop in 4 seconds. Calculate the sled’s deceleration (negative acceleration).

Given: Equation & Work: vi = vf = t = a = Answer _________________ 6. A skydiver jumps out of a plane and as he fal ls he has an acceleration of 9.8 m/s2. How many seconds will it take to reach a speed of 28.5 m/s?

Given: Equation & Work: vi = vf = t = a = Answer _________________

Distance and Displacement Lab - PBworksamcknight.pbworks.com/w/file/fetch/48792239/motion_book.pdf · Distance and Displacement Lab ... Now diagram the last walk and indicate displacement

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