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Usain Bolt is considered to be the fastest person on earth. He holds the record for the fastest 100m (meters), which he ran in 9.58s (seconds) in 2009. We'll assume that Bolt ran the race at a constant speed.
Which of the following equations, where t represents time in seconds and d represents distance in meters, describe a speed greater than Bolt's record-breaking speed in 2009 ?
Choose all answers that apply:
(A) d=10 t
(B) d=10.2 t
(C) d=10.4 t
(D) d=10.45 t

Usain Bolt is considered to be the fastest person on earth. He holds the record for the fastest 100 m 100 \mathrm{~m} (meters), which he ran in 9.58 s 9.58 \mathrm{~s} (seconds) in 20092009. We'll assume that Bolt ran the race at a constant speed.\newlineWhich of the following equations, where t t represents time in seconds and d d represents distance in meters, describe a speed greater than Bolt's record-breaking speed in 20092009 ?\newlineChoose all answers that apply:\newline(A) d=10t d=10 t \newline(B) d=10.2t d=10.2 t \newline(C) d=10.4t d=10.4 t \newline(D) d=10.45t d=10.45 t

Full solution

Q. Usain Bolt is considered to be the fastest person on earth. He holds the record for the fastest 100 m 100 \mathrm{~m} (meters), which he ran in 9.58 s 9.58 \mathrm{~s} (seconds) in 20092009. We'll assume that Bolt ran the race at a constant speed.\newlineWhich of the following equations, where t t represents time in seconds and d d represents distance in meters, describe a speed greater than Bolt's record-breaking speed in 20092009 ?\newlineChoose all answers that apply:\newline(A) d=10t d=10 t \newline(B) d=10.2t d=10.2 t \newline(C) d=10.4t d=10.4 t \newline(D) d=10.45t d=10.45 t
  1. Calculate Speed: Calculate Usain Bolt's record-breaking speed.\newlineTo find Bolt's speed, we divide the distance he ran by the time it took.\newlineSpeed = DistanceTime\frac{\text{Distance}}{\text{Time}}\newlineSpeed = 100m9.58s\frac{100\,\text{m}}{9.58\,\text{s}}
  2. Perform Calculation: Perform the calculation from Step 11.\newlineSpeed 100m9.58s10.438m/s\approx \frac{100\,\text{m}}{9.58\,\text{s}} \approx 10.438\,\text{m/s} (rounded to three decimal places)
  3. Compare Speeds: Compare Bolt's speed with the speeds given in the options.\newlineWe need to determine which of the given equations represent a speed greater than approximately 10.438m/s.10.438\,\text{m/s}.
  4. Analyze Option A: Analyze option A.\newlineOption A is d=10td = 10t, which means the speed is 10m/s10\,\text{m/s}.\newlineSince 10m/s10\,\text{m/s} is less than 10.438m/s10.438\,\text{m/s}, option A does not represent a speed greater than Bolt's record-breaking speed.
  5. Analyze Option B: Analyze option B.\newlineOption B is d=10.2td = 10.2t, which means the speed is 10.2m/s10.2\,\text{m/s}.\newlineSince 10.2m/s10.2\,\text{m/s} is less than 10.438m/s10.438\,\text{m/s}, option B does not represent a speed greater than Bolt's record-breaking speed.
  6. Analyze Option C: Analyze option C.\newlineOption C is d=10.4td = 10.4t, which means the speed is 10.4m/s10.4\,\text{m/s}.\newlineSince 10.4m/s10.4\,\text{m/s} is less than 10.438m/s10.438\,\text{m/s}, option C does not represent a speed greater than Bolt's record-breaking speed.
  7. Analyze Option D: Analyze option D.\newlineOption D is d=10.45td = 10.45t, which means the speed is 10.45m/s10.45\,\text{m/s}.\newlineSince 10.45m/s10.45\,\text{m/s} is greater than 10.438m/s10.438\,\text{m/s}, option D represents a speed greater than Bolt's record-breaking speed.

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