Computer Intensive Physics 211Spring, 1998
InfoMall Homework #16 -Printed only (10 points)

IFHW16:

p.1 of 2
Due 3/10/98

1. (3 pts)Walk back and forth as if you were trying to reproduce the following graph. Don't
   worry about exact timing or the actual distances you cover, but move so that you would
   create the same sort of pattern if a computer were recording it. To answer the following
   questions it may also be helpful to re-create the motion on a smaller scale, maybe with your
   finger along the edge of a desk.

(a)Copy (sketch) the graph above onto your paper. (Can you guess what sort of function
was used to generate the curve?)

(b) Label the places on your graph where you exerted the most (frictional) forceagainst the
floor and where you exerted the least forceto perform this motion.

(c)Label the places on your graph where your speedwas greatest and where your speed
was smallest.

(d)Label the places on your graph where the magnitude of your accelerationwas greatest
and where the magnitude of your accelerationwas least.

(e)Label the places on your graph where your kinetic energywas greatest and where your
kinetic energywas least.

(f)Label the places on your graph where the magnitude of the slopeis greatest and where
the magnitude of the slopeis least.

(g)Label the places on your graph where the magnitude of the first derivative of position
with respect to time (dx/dt)is greatest and where the magnitude of dx/dtis least.

(h) Label the places on your graph where the magnitude of the curvature(i.e. second
derivative, or d²x/dt²) is greatest and least.