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?

Answer 1

In a vleocity Vs time graph, the change in position of an object is given by

$x_{1}-x_{2} =\int\limits^T_t {v} \, dt$

where the integral can be taken from the graph as

$\int\limits^T_t {v} \, dt$=area between velocity curve and time axis from t to T

Answer 2

The area of the rectangle plus the area of the triangle under the line .-.