Question

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. Which part of a velocity vs. time graph can be used to calculate the displacement of the object?
the area of the rectangle under the line
the area of the rectangle above the line
the area of the rectangle plus the area of the triangle under the line
the area of the rectangle plus the area of the triangle above the line

Answer 1

The displacement of an object is obtained by taking out the area of the rectangle plus the area of the triangle under the line.

What is acceleration?

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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