[amp_mcq option1=”0″ option2=”8 kmph” option3=”75 kmph” option4=”126 kmph” correct=”option3″]<\/p>\n
The correct answer is $\\boxed{\\text{C}}$.<\/p>\n
The Mean Value Theorem states that if a function $f$ is continuous on the interval $[a, b]$, then there exists a point $c$ in $(a, b)$ such that $f'(c) = \\frac{f(b) – f(a)}{b – a}$.<\/p>\n
In this case, the function $f$ is the speed of the train, and the interval is $[0, 8]$. We know that $f(0) = 0$ and $f(8) = 280$. Therefore, by the Mean Value Theorem, there exists a point $c$ in $(0, 8)$ such that $f'(c) = \\frac{280 – 0}{8} = 35$.<\/p>\n
The speedometer measures the instantaneous speed of the train, so the speedometer must read exactly 35 kmph at some point during the acceleration.<\/p>\n
Option A is incorrect because the train is not moving at 0 kmph at any point during the acceleration.<\/p>\n
Option B is incorrect because the train is moving at a speed greater than 8 kmph at some point during the acceleration.<\/p>\n
Option D is incorrect because the train is not moving at a speed of 126 kmph at any point during the acceleration.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”0″ option2=”8 kmph” option3=”75 kmph” option4=”126 kmph” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[690],"tags":[],"class_list":["post-20218","post","type-post","status-publish","format-standard","hentry","category-calculus","no-featured-image-padding"],"yoast_head":"\n