Distance Time Walking Relationship Experimentation

For Mr.Williams SPH3U1-02 Sept.13/10 Written by: Dong Chang, Gloria Chan, Sanjay Tanirige, and Waleed Shehzad

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Distance Time Walking Relationship Experimentation

Purpose

The purpose of this experiment is to determine the amount of time in seconds that it takes to walk a distance of 84 metres on the running track. In addition, the person that is the most reliable to perform this test will have to be determined.

Hypothesis

We hypothesize that it will take approximately 103.57 seconds to run the 84 metre of track by an average person. This value was derived from the average time that it takes to walk one metre from the person with the most average walking speed out of the group.

Procedure

Materials and Apparatus: •

Metre Stick • • Method Part A: Finding most reliable walker 1. Place the metre stick on a sufficient space on the ground with some distance before and after it. Let the zero metre mark be the origin. 2. Start walking some distance before the origin (in the negative x-axis area). When the person’s stride is over the origin, the stopwatch is started. The person will keep on walking and maintain the same speed and heading with no acceleration until they have walked some distance past the 1 metre mark. Stop the stopwatch once the person’s stride is over the 1 metre mark. 3. Record the time that it takes to perform the action of walking 1 metre. Repeat Step 2 two more times so that you have three trials. Find the average time that it took the person to walk the 1 metre. 4. Repeat Steps 1-3 for each member of the group. 5. Find the average that it takes for all members of the group to walk 1 metre by adding their averages and dividing by the amount of people in the group. Stopwatch with accuracy of 1/100 seconds Pre-marked area 84 metres long

Distance Time Walking Relationship Experimentation

6. The person that has the closest personal average to the group average will be the most reliable walker for the group. Part B: Finding the time that it takes to walk 84 metres 1. Mark the 84 metre track with the start and the finish. 2. Using the most reliable walker found in Part A, start walking some distance before the start line in order to achieve a constant velocity and have zero acceleration. Start the stopwatch when the person’s stride is over the start line, and stop the stopwatch when the person’s stride is over the finish line. 3. Record the time that it takes the person to walk the 84 metre length of track.

Observations

Record of the amount of time in seconds for a person to walk one metre. Walker Time 1 (seconds) 0.90 0.93 1.08 1.28 Time 2 (seconds) 1.23 1.16 1.10 1.08 Time 3 (seconds) 1.26 1.16 1.18 1.18 Time Average (seconds) 1.13 1.08 1.12 1.18

Dong Chang Gloria Chan Sanjay Tantirige Waleed Shahzad

Therefore, the total average of everyone’s time to walk one metre is: (1.13s+1.08s+1.12s+1.18s)/4 =4.51s/4 =1.275s

≈1.3 seconds The person with the closest personal average is Dong Chang, with an average time of 1.13 seconds. Therefore, he is the most reliable to run the test. Distance Time Walking Relationship Experimentation

The average time of the most reliable person to walk one metre. Walker Dong Chang Time (seconds) 1.21 1.37 1.19 1.35 1.17 1.28 1.18 1.12 1.21 1.25 Therefore the average of the time to walk one metre is 1.233 seconds. To estimate the time it takes to walk 84 metres: Let x be the estimated time to walk 84 metres x=time*distance x=1.233 seconds * 84 metres x=103.572 seconds x ≈103.57 seconds

Therefore we estimate it would take 103.57 seconds in order to walk 84 metres.

Actual result of test to walk 84 metres: 106.75 seconds

Distance Time Walking Relationship Experimentation

Percent Deviation of Test [(experimental value - theoretical value)/theoretical value] * 100% [(106.75s-103.57s)/103.57s]*100% =(3.18s/103.57s)*100%

≈3.07%

Therefore the deviation is...