Question 90 of 308
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.
Show answer and solution
Answer: (D) Statement I is incorrect but Statement II is true
The definition of displacement is given by the product of velocity and time.
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.
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 change in velocity of the body.
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.
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 change in velocity of the body.
