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A world-class sprinter can reach a top speed (of about 11.5 m/s) in the first 15.0 m of a race. What is the average acceleration of this sprinter and how long does it take her to reach that speed?

***I know that average acceleration equals (V2-V1)/(T2-T1). The problem is a time isn't given and i have no clue where to start

Thanks much,
mono

2007-01-23 08:43:05 · 3 answers · asked by mono 1 in Science & Mathematics Physics

3 answers

Your eq is only one of 2 for this kind of problem. The one you want is a = ∆V²/2x.
Try it; you'll LIKE it!

2007-01-23 08:49:02 · answer #1 · answered by Steve 7 · 0 0

A more useful equation for constant acceleration is:
Vf^2 = Vi^2 + 2ad
Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, d is the distance. In that case.
11.5^2 = 2(a)(15)
a = 4.4 m/s^2

2007-01-23 16:48:22 · answer #2 · answered by Nicknamr 3 · 1 0

I would think... but have been wrong before....

11.5 m/s.... and 15m... so there is your time you need to divide to see how long it takes them to go 15 m/s. 1.3 seconds?

2007-01-23 16:49:35 · answer #3 · answered by dontblamemeivoted 3 · 0 0

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