Question

At 2:00 pm a car's speedomoter reads 20 mph, and at 2:10 pm it reads 25 mph. Use the Mean Value Theorem to find an acceleration the car must achieve.

Answer 1

at some time between 2:00 and 2:10 if it is continuous and differentiable the acceleration must hit the average acceleration.
(25 -20) mph/(10/60 hour)

or in more usual units

(36.67 - 29.33) ft/sec/600 seconds