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think about it! 1. which task and distance resulted in the fastest spee…

Question

think about it!

  1. which task and distance resulted in the fastest speed?

task -
distance -
speed -

  1. which task and distance resulted in the slowest speed?

task -
distance -
speed -

  1. how far could you speed - walk in 10 minutes based on your speed for the 10 - meter trial? show your work!
  2. how long would it take you to hop 30 meters based on your speed for the 5 - meter trial? show your work!
  3. how far could you travel walking backwards in 15 minutes based on your results for the 5 - meter trial? show your work!
  4. how long would it take you to walk (regular rate) 1 kilometer (or 1,000 m) based on your speed for the 10 - meter trial? show your work!
  5. are your results accurate? why or why not?

Explanation:

Step1: Recall speed - distance - time formula

The formula is $v=\frac{d}{t}$, where $v$ is speed, $d$ is distance and $t$ is time. We can also rewrite it as $d = v\times t$ and $t=\frac{d}{v}$.

Step2: Solve question 3

Given the speed for the 10 - meter trial is $v = 0.99$ m/s (from question 2). Time $t = 10$ minutes. First convert time to seconds: $t=10\times60 = 600$ s. Then use $d = v\times t$. So $d=0.99\times600 = 594$ m.

Step3: Solve question 4

Given the speed for the 5 - meter trial is $v = 1.64$ m/s (from question 1). Distance $d = 30$ m. Use $t=\frac{d}{v}$. So $t=\frac{30}{1.64}\approx18.29$ s.

Step4: Solve question 5

Assume the speed for the 5 - meter trial is $v = 1.64$ m/s (from question 1). Time $t = 15$ minutes. Convert time to seconds: $t = 15\times60=900$ s. Use $d = v\times t$. So $d = 1.64\times900=1476$ m.

Step5: Solve question 6

Given the speed for the 10 - meter trial is $v = 0.99$ m/s (from question 2). Distance $d = 1000$ m. Use $t=\frac{d}{v}$. So $t=\frac{1000}{0.99}\approx1010.1$ s. Convert to minutes: $t=\frac{1010.1}{60}\approx16.84$ minutes.

Step6: Answer question 7

Results may not be accurate. Reasons: 1. In real - life, speed may not be constant during the trial and the actual activity. 2. Measurement errors in timing and distance measurement during the trial.

Answer:

  1. 594 m
  2. 18.29 s
  3. 1476 m
  4. Approximately 16.84 minutes
  5. Results may not be accurate. Reasons include non - constant speed in real - life and measurement errors during the trial.