Explanation Given: A covers a distance at using uniform acceleration and an identical body covers the same distance at a uniform speed that is equal to the average of the speed before acceleration of the first body and the highest speed of the first body. Formula used: For a function f that is twice differentiable on an open interval I , if f ' ( c ) = 0 for some c , then, If f ' ' ( c ) > 0 the function f has relative minima at c if f ' ' ( c ) < 0 the function f has relative maxima at c . Proof: Consider the distance transverse to be d units with a uniform acceleration of a . Now, the initial velocity and distance are both assumed to be zero. Hence, using the Newton’s first equation of motion, v ( t ) = v ( 0 ) + a t = 0 + a t = a t Now using the second equation of motion, s ( t ) = v ( 0 ) t + 1 2 a t 2 s ( t ) = 1 2 a t 2 Now equate d for s (

11th Edition

ISBN: 9781337275361

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 4, Problem 8PS

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To prove: The propositions regarding the indifference in time with regards to acceleration.

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Homework: HW 17.2 1 of 13

!.) Compute the predictive value positive and predictive value negative.

Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car traveled even farther than the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 17 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample size t-statistic P-value P 207 17 1.48 0.079 The results statistically significant at a = 0.01 because P 0.01. are are not V

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