Differential acceleration is the change in acceleration over time. It is the rate at which the acceleration of an object is changing.
Differential acceleration can be calculated by taking the derivative of the acceleration function with respect to time. In other words, it is the slope of the acceleration curve on a position-time graph.
The factors that affect differential acceleration include the mass of the object, the force acting on the object, and any external forces such as friction or air resistance.
The average acceleration is the total change in velocity divided by the total change in time, while differential acceleration is the instantaneous change in acceleration at a specific point in time.
Differential acceleration is important because it helps us understand how the acceleration of an object changes over time, which can provide insight into the forces acting on the object and its overall motion.