Problem:
A cart rolls down a hill, traveling inches the first second and accelerating so that during each successive -second time interval, it travels inches more than during the previous -second interval. The cart takes seconds to reach the bottom of the hill. How far, in inches, does it travel?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The distance traveled during the st, nd, th second is , respectively. Therefore the total distance traveled is
.
The problems on this page are the property of the MAA's American Mathematics Competitions