Goal: Reason with kinematics
Source: UMPERG-ctqpe75
Two identical steel balls are released from rest from the same height,
and travel along tracks as shown and labeled below.
![](/files/Item151_fig1.gif)
Which ball reaches the end of its track first?
- ball on track A
- ball on track B
- they reach the end at the same time
- not enough information
Commentary:
Answer
(2) The ball on track B accelerates down the second slope. A
component of this acceleration is in the x-direction. This means that
the x component of ball B’s velocity is never smaller than that of ball
A. Since the tracks have the same x-dimension, ball B gets there first.
A large majority of students choose answer C incorrectly thinking that
since the balls return to the same height, they have the same speed and,
therefore, arrive at the same time.