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13 December, 05:17

Sarah is driving her car very smoothly from

Austin to Dallas one day. At 6:00 pm she is

travelling at 20 mph, while 25 minutes later

she is travelling at 40 mph.

Calculus tells us that at some time between

6:00 pm and and 6:25 pm her acceleration is

exactly x mph/h. Determine x.

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Answers (1)
  1. 13 December, 07:10
    0
    Like saying v (0) = 20, v (25) = 40 and so by mean value theorem there is an x between 0 and 25 with v′ (x) = 40-20 25 = 2025 = 45

    yeah. What satellite says. 4/5 mph/min but we want x in mph/h, so multiply by 60 (4/5) * 60=48 mph/h
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