Calculating Acceleration, Displacement for 100m Sprint

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The runner accelerates from rest to a speed of 9.6 m/s [W] in 4.2 seconds, resulting in an acceleration of 2.3 m/s² [W] and a displacement of 20.16 m [W]. To find the total time for the 100 m sprint, the remaining distance after acceleration is calculated as 100 m - 20.16 m, which equals 79.84 m. This distance is then divided by the constant velocity of 9.6 m/s [W], yielding approximately 8.31 seconds for the remaining distance. Adding the initial 4.2 seconds gives a total time of about 12.51 seconds, indicating a slight error in the original calculation of 13 seconds.
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Homework Statement


In a 100 m sprint a runner starts from rest and accelerate to 9.6 m/s [W] in 4.2 s.
Calculate acceleration, displacement, and if the runner runs at a constant velocity for the rest of the race what is the total time?

Homework Equations

The Attempt at a Solution


I am having trouble with the total time. I know acceleration is 2.3 m/s^2 [W] and I know displacement is 20.16 m [W]. However what would the constant velocity be.. Is it 9.6 m/s[w]? And since it states the rest of the race does that mean i have to subtract 20.16 from the 100m?
 
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Veronica_Oles said:

Homework Statement


In a 100 m sprint a runner starts from rest and accelerate to 9.6 m/s [W] in 4.2 s.
Calculate acceleration, displacement, and if the runner runs at a constant velocity for the rest of the race what is the total time?

Homework Equations

The Attempt at a Solution


I am having trouble with the total time. I know acceleration is 2.3 m/s^2 [W] and I know displacement is 20.16 m [W]. However what would the constant velocity be.. Is it 9.6 m/s[w]? And since it states the rest of the race does that mean i have to subtract 20.16 from the 100m?
So what I did was take 100 subtract 20 to obtain 80. Then I took 80 divided it by 9.6 took that number and added 4.2 seconds to get the total time. The total time is 13s.. Can someone tell me if I did this correctly?
 
Veronica_Oles said:
So what I did was take 100 subtract 20 to obtain 80. Then I took 80 divided it by 9.6 took that number and added 4.2 seconds to get the total time. The total time is 13s.. Can someone tell me if I did this correctly?
Looks good.
 
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