Calculus on the Tracks

Roller coaster designers use parametric equations to plot the path of each car, ensuring loops, turns, and drops are both thrilling and safe.

• The position of a car: \( x(t), y(t), z(t) \)
• Calculus helps calculate velocity, acceleration, and forces, making sure the ride is smooth and exciting.

These ideas are also used in animation, robotics, and aerospace engineering.