Distance/Speed/Acceleration

Calculus has a very important application in relation to distance, speed and acceleration.

• Distance (or displacement) describes the position of an object relative to a reference point at a given time $t$. It is the primary quantity that changes over time due to motion.

• Velocity is the rate of change of distance with respect to time. It measures how fast an object's position is changing.

• Acceleration is the rate of change of velocity with respect to time. It measures how fast an object's velocity is changing.

Example