JEE Main 20238 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2023
- Date
- 8 April
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Motion in One Dimension
JEE Main 2023 · 8 April · Evening Shift · Physics · Motion in One Dimension
Given below are two statements: Statement I: Area under...
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.
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.
Options
- ABoth Statement I and Statement II are true
- BBoth Statement I and Statement II are false
- CStatement I is correct but Statement II is false
- DStatement I is incorrect but Statement II is true
Correct answer
D. Statement I is incorrect but Statement II is true
Step-by-step solution
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.