Exploring the variation in total acceleration and tension force for a pendulum on the Moon released from a horizontal position to vertical.

Understanding how two springs in series combine into a single equivalent spring constant.

Exploring the effects of varying the angle of a pulling force on a block, friction, and acceleration.

Discover how to evaluate a cubic function and its derived function based on given extrema conditions. We solve for a scaled output of the function with a practical approach to calculus concepts.

A look at the forces acting on a motorcycle moving on a vertical circular track and the conditions necessary for successful completion of the stunt.

Explore how projectiles with varying speeds and angles can achieve the same maximum height and flight time. We demonstrate that the flight time remains constant regardless of initial speed.

Analyzing an implicit equation using implicit differentiation, finding the first and second derivatives, and identifying local extrema.