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Velocity- Time graph (Non-Uniform Acceleration) The velocity- time graph of non-uniformly accelerated motion is a curve. The slope of line joining between any two points on the v-t graph gives average acceleration. Average acceleration ( a_av)= (Change in velocity)/(time interval) = (v_2-v_1)/(t_2-t_1 ) = ∆v/∆t If an object is moving with non-uniform acceleration such that its acceleration is a1 in time t1 and a2 in time t2, then the average acceleration is given by a_av = (a_1 t_1+ a_2 t_2)/(t_1+ t_2 ) The slope of tangent drawn at any point of the v-t curve gives instantaneous acceleration corresponding to a particular time. Instantaneous acceleration (a) = lim┬(∆t →0)〖∆v/∆t〗 = dv/dt Hence, the instantaneous acceleration is also defined as the slope of tangent to velocity – time graph corresponding to given instant of time. Acceleration-Time graph (a-t graph) The area under acceleration- time graph between time t1 and t2 gives the change in velocity. As, acceleration a = dv/dt dv = a.dt ∫On integration above equation we cna get change in velocity. Uniform Motion (Constant Velocity/Speed) Position- time graph Velocity-time graph Non- uniform Motion (Accelerated motion) Position- time graph Velocity-time graph Motion under gravity (free fall) Position- time graph Velocity-time graph Acceleration -Time graph Motion under gravity (Object thrown vertically Upward) Position- time graph Velocity-time graph Acceleration -Time graph Please see the video for details The videos will contain the content as per the CBSE board. The content will also help to those students who are going to appear in NEET or JEE Exams.