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    Mean value theorem

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    At 2:00 pm a car's speedometer reads 30 mi/h. At 2:10 pm it reads 50 mi/h. Use the mean value theorem to show that at some time between 2:00 and 2:10 the acceleration is exactly 120 mi/h^2. Please show line by line work and be as clear as possible.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:36 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/mean-value-theorem-2283

    Solution Preview

    Proof:
    Since the acceleration a is the derivative of the speed v, in other words, a=dv/dt.
    Suppose v=f(t), the speed v is a function of ...

    Solution Summary

    This uses the mean value theorem for the speed of a car.

    $2.49

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