Welcome to our community

Be a part of something great, join today!

Which graph represents the distance from the minute hand to the ground with respect to time?


New member
Jan 9, 2019
I'd like to know how to solve this. I'm pretty lost as to how to solve this. I want to say that the graph would look periodic because of the graph of the time would go down and then go back up again, but I really don't have anything concrete.

The question states:

The circular clock has a diameter of 14 inches and its minute had has length 6 inches. It is placed on the wall so that the center of the clock is 66 inches above the ground. Which of the following graphs could represent the distance from the tip of the arrow of the minute hand to the ground with respect to time from 10 a.m. to 11 a.m.?



Well-known member
MHB Math Scholar
Jan 30, 2012
Hi, and welcome to the forum.

Can you figure out the initial position (height above the ground) of the minute hand tip at 10 a.m.? Also, do you know what cosine is and what its graph looks like?


Well-known member
MHB Math Helper
Jan 29, 2012
(A) isn't possible because the minute had will have returned to its original height after 60 minutes.
(C) isn't possible because it has straight lines while the minute hand in moving in a circle.
That leaves (B) and (D) and the most obvious difference between the is that (B) is "smooth" while (D) has a cusp at the bottom. (D) implies a sudden change in direction which cannot be the case in circular motion.