You drive a go-cart around a go cart track, consisting
of two arcs (radii shown on diagram) connected by two straight segments
as shown.
You drive at a constant 5.0 m/s. What is your acceleration (size and
direction) at points W, X, Y, and Z?
Your friend is more adventuresome. She drives the small arc at 5.0 m/s,
then accelerates on the lower straight segment
from 5 m/s to 15 m/s, which takes
5.0 s, drives the large arc at 15 m/s, and
then gradually slows back to 10.0 m/s
along the top straight segment.
Find the acceleration (size and direction)
for the points W, X, Y, and Z for your friend.
