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Draw a velocity-time graph for a body mOVing with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.​

Answer» TION:Let ′ u ′ be the initial VELOCITY′ v ′ be the velocity at TIME ′ t ′ and ′ a ′ be the acceleration.The DISTANCE travelled by the BODY in ′ t ′ second = area enclosed between the velocity-time graph and x−axisOrDistance traveled by the body in ′ t ′ seconds = area of trapezium OABD=1/2×(sum of parallel sides)×height=1/2×(u+v)×t= 2(u+v)t = 2(u+at)t =u+ 21 at 2


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