Velocity, Acceleration and Jerk

1. Basic Meaning:

• Derivative represents the rate of change of y with respect to x

2. Velocity:

• Velocity = rate of change of displacement
• v = \[\frac{ds}{dt}\]
• At t = 0 → initial velocity
• v > 0 → motion forward
• v < 0 → motion backward
• v = 0 → particle at rest

3. Acceleration:

• Acceleration = rate of change of velocity
• a = \[\frac{dv}{dt}\] = \[\frac{d^2s}{dt^2}\]
• a > 0 → velocity increasing
• a < 0 → velocity decreasing
• a = 0 → constant velocity