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Suppose a car moves at an approximately constant speed measured to be 0.315 m/s with a...

Suppose a car moves at an approximately constant speed measured to be 0.315 m/s with a standard deviation of 0.025. The slope of the position curve should be close to A. 0.314 exactly B. between 0.339 and 0.289 with 95% confidence C between 0.339 and 0.289 with 68% confidence D. zero after averaging

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Answer #1

The slope in position curve is velocity itself.

The velocity is given to be 0.315 m/s with a standard deviation of 0.025.

Now, the confidence interval is

And for a normal distribution, the probability of falling a value within one standard deviation from the mean value is 68.27%.

So, the correct answer is

C. between 0.339 and 0.289 with 68% confidence.

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