The displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.
Acceleration is defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The object moves with constant acceleration.
In velocity time graph, the slope determines the acceleration and the area under the curve gives the value for the displacement.
Thus, the displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.
Learn more about acceleration.
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