1. The problem statement, all variables and given/known data This isn't a specific problem, I just wondering if there was a formula to describe the direction of travel an object would take if it was part of a pendulum and the string broke. 2. Relevant equations 3. The attempt at a solution Seeing that if the string broke in the instant that the object was in its most downward position it would be released at an angle parallel to the horizontal and of it broke when the object was exactly 90 degrees from the resting position, it would travel straight up/down depending on where it was in its period, I would think that the direction of travel would be the tangent of the curve at that position? Is there is simplified equation for this?