Calculating Average Acceleration: Solving a Sports Car Stopping Distance Problem

AI Thread Summary
To calculate the average acceleration of a sports car stopping from 95 km/h over 44 m, the correct method involves converting the initial speed to m/s, yielding approximately 26.39 m/s. The formula v² - vo² = 2a(x - xo) is used, leading to an average acceleration of about 7.9 m/s². However, the sign of the acceleration must be considered, as it may need to be negative to indicate deceleration. The discussion highlights the importance of rounding and significant figures in calculations. Ultimately, the issue was resolved by recognizing the need for the correct sign in the acceleration value.
slayerdeus
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A sports car is advertised to be able to stop in a distance of 44 m from a speed of 95 km/h. What is its [average] acceleration in m/s2? How many g's is this (g = 9.80 m/s2)?

I have 7.9 m/s2, as my answer for average acceleration, but webassign isn't accepting my answer. Can someone help me out?
 
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How did you arrive at that answer?
 
I used v^2-vo^2=2a(x-xo

Have to convert to m/s so vo=26.38 m/s, vf=0
 
Looks right to me; however:
Did you remember the sign on the acceleration?

That's about what I can think of, unless you were supposed to enter the number of g's the acceleration is in
 
Not 26.39?
 
yea its 26.38888888888 m/s, no it asks for g's in another questions and when I do 7.9/9.8 it says that answer is correct. I wonder if this method is average acceleration or is it instantaneous?
 
It absolutely cannot be the inst. acceleration they're after; in order to know this, you would need a lot more information (effect of brakes, frictional coefficient etc.)

Since your second answer is correct, I can see only 2 possibilities:
a) The machine is wrong
b) It requires a sign for the acceleration

On second thought: Have you tried using velocity 26.4 and rounding off to one significant decimal?
 
Still average. You have no knowledge of the interior, only the endpoints.

cookiemonster
 
Okay, thanks mucho. It was the sign :rolleyes:
 
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