Title 101 Rectilinear Motion.pdf ✅

2.3. A-T Graph The a-t graph shows the acceleration behavior of a particle with time. From Δv = ∫ a dt It shows that the change in velocity of a particle between two points in time is the area under the a-t graph. The graph is also helpful in solving the displacement using Δs = first moment of area under the a − t graph 2.4. A-S Graph From 1 2 (v1 2 − v0 2 ) = ∫ a ds It shows that the quantity 1 2 (v1 2 − v0 2 ) is equal to the area under the a-s graph. 2.5. V-S Graph From a ds = v dv a = v ( dv ds) It shows that acceleration = velocity × slope of v − s graph 3. Uniform Accelerated Motion Uniform acceleration motion in rectilinear motion is a special type of motion where the acceleration is assumed to be constant. 3.1. Acceleration Since the acceleration is constant, a(t) = a 3.2. Velocity Since dv dt = a [DERIVATION] dv = a dt