## Description

A mass particle starts from rest at the highest point, O = (0,1), of a vertical circle and slides along a chord only effected by the acceleration due to gravity to another terminal point A on the circle.

What can you say about the time(s) it takes for the mass to hit the terminal points in terms of a changing angle of the chord with the perpendicular Reflect on your answer and make comments on the reasonableness and interpretations we might offer for your solution. This modeling opportunity appears in a number of textbooks. However, we believe the use of elementary vector mathematics to obtain a differential equation and then solve the equation and interpret the solution is a worthy modeling task.

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