An airplane traveling toward Denver is 642 miles away ay 1:30pm and 42 miles away at 3:00pm. Assuming the plane's position and velocity functions are differentiable, which of the following can be used to show that the plane was traveling at exactly 400 mph at some time between 1:30pm and 3:00pm?
I. Extreme Value Theorem
II. Mean Value Theorem
III. Intermediate Value Theorem for Derivatives
A) I only
B) II only
C) III only
D) Either I or III
E) Either II or III

Question

An airplane traveling toward Denver is 642 miles away ay 1:30pm and 42 miles away at 3:00pm. Assuming the plane's position and velocity functions are differentiable, which of the following can be used to show that the plane was traveling at exactly 400 mph at some time between 1:30pm and 3:00pm?
I. Extreme Value Theorem
II. Mean Value Theorem
III. Intermediate Value Theorem for Derivatives
A) I only
B) II only
C) III only
D) Either I or III
E) Either II or III