Rectilinear Motion (with Variable Acceleration)

• When bodies are acted upon by variable forces, they move with variable acceleration.
• Case 1: It is solved by successive differentiation of the displacement with respect to the time according to velocity and acceleration
• Case 2: Elimination the time between these two relations will give an equation between velocity and displacement.
• Case 3: Differentiating the given velocity-time relation determines the acceleration while integrating it determines the displacement