AP Calculus AB

Advanced Placement Calculus AB covering limits, derivatives, and integrals.

Practical Applications

Calculus in Physics and Engineering

Where Do We See Calculus?

Calculus is everywhere in physics and engineering! It helps us understand how things move, how forces change, and how to build efficient structures.

Physics: Motion and Forces

  • Velocity: The derivative of position with respect to time.
  • Acceleration: The derivative of velocity.
  • Work: An integral of force over distance.

Engineering: Design and Optimization

  • Calculus ensures bridges are strong, rockets fly efficiently, and machines operate safely.

Why Does This Matter?

Calculus lets us predict, control, and optimize almost anything that changes—making it the language of science and technology.

Examples

  • Calculating how fast a car is accelerating at a specific moment using derivatives.

  • Using integrals to find the work done by a varying force in lifting an object.