Probing the positive velocity misconception:

Velocity must be positive

References Description

 

Below is a digram of a ball and track setup. The ball is started in the position shown by a small nudge directed to the right. Students are asked to construct a velocity versus time graph for the ball from the time it starts until the time it returns to its original position.

 

 

The ball initially speeds up down the incline. Along the flat section it will travel at a constant speed (frictionless surface). It will decrease speed up the ramp, change direction, and speed up down the incline (now headed in the opposite direction). If the original direction (to the right) is chosen to be the positive direction, when the ball travels is traveling to the left it must be travelling in the negative direction. This is shown on a velocity versus time graph by plotting the velocity below the v=0 axis (similar to plot below).

 

 

 

 


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