Starting from a stationary position, Sonia ran 100 meters in 20 seconds. Assuming that her distance from the starting point is a continuous and differentiable function of time, she would definitely have run at a speed of meters per second at some point of time, where equals:
Tap an option to check your answer.
Checking your account…
Starting from a stationary position, Sonia ran 100 meters in 20 seconds. Assuming that her distance from the starting point is a continuous and differentiable function f(t) of time, she would definitely have run at a speed of y meters per second at some point of time, where y equals: (A) 4 (B) 20 (C) 6 (D) None of the above necessarily holds.
Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.
This question is on Mean value theorem and Rolle's theorem, part of Limits, continuity and differentiability in Mathematics.
Results linking the average rate of change to a derivative at some point.
TestStop has 13 past-paper questions on this subtopic.
Question from the DSE 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.