The length of the race is 100m. After 10 seconds, the athlete continues to run at a speed of 8m/s until the…

Question

The length of the race is 100m. After 10 seconds, the athlete continues to run at a speed of 8m/s until the end of the race. Calculate the total time the athlete takes to complete the 100m race.

ScanSolve AI Tutor · Accepted Answer

Here's the solution for part (b) of the speed-time graph problem:

b) The length of the race is 100m. After 10 seconds, the athlete continues to run at a speed of 8m/s until the end of the race. Calculate the total time the athlete takes to complete the 100m race.

From part (a), we know the athlete covers 72 m in the first 10 seconds. The total race length is 100 m.

Calculate the remaining distance to be covered.
$\text{Remaining Distance} = \text{Total Race Length} - \text{Distance Covered in first 10 s}$ $\text{Remaining Distance} = 100\, \text{m} - 72\, \text{m}$ $\text{Remaining Distance} = 28\, \text{m}$
Calculate the time taken to cover the remaining distance.
After 10 seconds, the athlete runs at a constant speed of 8 m/s.
$\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ $\text{Time for Remaining Distance} = \frac{28\, \text{m}}{8\, \text{m/s}}$ $\text{Time for Remaining Distance} = 3.5\, \text{s}$
Calculate the total time to complete the race.
$\text{Total Time} = \text{Time for first 10 s} + \text{Time for Remaining Distance}$ $\text{Total Time} = 10\, \text{s} + 3.5\, \text{s}$ $\text{Total Time} = 13.5\, \text{s}$
The total time the athlete takes to complete the 100 m race is $\boxed{\textbf{13.5 s}}$ .

The length of the race is 100m. After 10 seconds, the athlete continues to run at a speed of 8m/s until the end of the race. Calculate the total time the athlete takes to complete the 100m race.

Answer

Step-by-step solution

Calculate the remaining distance to be covered.

Calculate the time taken to cover the remaining distance.

Calculate the total time to complete the race.

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