Given below are two statements: Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time. In the light of given statements, choose the correct answer from the options given below.

Step-by-step solution

The definition of displacement is given by the product of velocity and time. ∫ v d t = ∆ x = displacement of body in given time. Distance is a scalar quantity and displacement is a vector quantity defined by the shortest distance between the initial and the final position. Acceleration is defined by the rate of change of velocity. ∫ a d t = ∆ v = change in velocity in given time. Thus, the area under the velocity time graph gives the displacement of the body and the area under the acceleration time graph gives the