**Problem : **
Find the position function for an elephant on a tightrope if the elephant's
path goes as follows: (1) the elephant begins 5 ft to the right of the
origin (center of the tight rope), (2) the elephant moves left at a steady
pace for 3 minutes and ends up 2 ft left of the origin, (3) the elephant
stays still at that spot for 1 minute, and (4) the elephant moves right at a
steady pace for another 2 minutes and ends up 1 foot to the right of the
origin.

Figure %: The position function for an elephant on a tightrope.

**Problem : **
Plot the position function given by
*x*(*t*) = -
*gt*
^{2} + *h*
for
*g* = 9.8
and
*h* = 40
.

Figure %: The position function
*x*(*t*) = -
*gt*
^{2} + *h*
.