Using the mean value theorem to prove the acceleration at a specific moment in time.
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.© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/using-the-mean-value-theorem-to-prove-the-acceleration-at-a-specific-moment-in-time-27b
...the time t.
At time t1=2:00pm, v1=f(t1)=30mi/h.
At time t2=2:00pm, v2=f(t2)=50mi/h.
Since f is a differentiable function, by the ...