If the velocity of particle is varying linearly with time then shape of d-t curve would be?

Explanation

If the velocity of a particle is varying linearly with time, the shape of the d-t (displacement-time) curve would be:B. QuadraticWhen the velocity of a particle varies linearly with time, it means that the particle is undergoing constant acceleration. In this case, the displacement of the particle is related to time by a quadratic relationship. A quadratic curve is a curve described by a quadratic equation, which is a polynomial of degree 2. In the context of a d-t graph, the quadratic curve would have the general shape of a parabola. The d-t curve would exhibit a parabolic shape. The reason for this is that the displacement of an object undergoing constant acceleration is proportional to the square of time. As time increases, the displacement increases at an increasing rate, resulting in a quadratic relationship between displacement and time.