Calculating Acceleration, Displacement for 100m Sprint

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SUMMARY

The discussion focuses on calculating the acceleration, displacement, and total time for a 100m sprint where a runner accelerates from rest to a velocity of 9.6 m/s [W] in 4.2 seconds. The calculated acceleration is 2.3 m/s² [W], and the displacement during the acceleration phase is 20.16 m [W]. The remaining distance of 79.84 m is covered at a constant velocity of 9.6 m/s [W], resulting in a total time of 13 seconds for the race.

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Veronica_Oles
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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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