Particle Motion (Calculus)

When the particle's velocity and acceleration have different signs.

Velocity is the speed of a particle in a specific direction.

The velocity function is the first derivative of the position function.

It means the particle is moving to the left.

Speed is determined by the absolute value of velocity, |v(t)|.

Acceleration is the rate of change of velocity with respect to time.

A particle is speeding up if its velocity and acceleration have the same sign.

It indicates that the particle is slowing down.

Average velocity is given by (s(b) - s(a)) / (b - a), where s(t) is the position function.

The second derivative of position represents acceleration.