I cant understand how to prove this question. We learned about intermediate value theorem but this makes no sense because 120 km isn't in bounds of either upper or lower limit. Here is the questionAt 2:00 PM, a car's speedometer reads 30km/h. At 2:10 PM, it reads 50 km/h. Show that at some time between 2:00 and 2:10 the acceleration was exactly 120 km/ h 2 (YES she wrote the question are h 2 . I hope its a typo). Indicate which theorem you must use in your explanation.

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I cant understand how to prove this question. We learned about intermediate value theorem but this makes no sense because 120 km isn&#039;t in bounds of either upper or lower limit. Here is the questionAt 2:00 PM, a car&#039;s speedometer reads 30km/h. At 2:10 PM, it reads 50 km/h. Show that at some time between 2:00 and 2:10 the acceleration was exactly 120 km/      h    2   (YES she wrote the question are       h    2  . I hope its a typo). Indicate which theorem you must use in your explanation.

crociandomh · Accepted Answer

50       km              /            hr      −      30       km              /            hr              1              /            6       hr        =      20          1              /            6               km          hr      2        .There&#039;s no typo; acceleration can be measured in kilometers per hour per hour, written as   km      /        hr    2  , or in meters per second per second, written as   m      /        sec    2  , etc.Acceleration is the derivative of velocity with respect to time. So you have velocity at one point in time, minus velocity at another point in time, divided by elapsed time, equals the derivative of velocity with respect to time at some time between those two points in time. A standard theorem deals with that.

Emmy Knox · Accepted Answer

First, convert the units of your time axis to hours: say 2:00 =0, and 2:10 =1/6. What does the mean value say about the acceleration (= derivative of velocity) for the endpoint values 30 and 50 respectively? I don&#039;t want to give too much away.

I cant understand how to prove this question. We learned about intermediate value theorem but this m

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