NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Motion in One Dimension
NEET · Physics · Motion in One Dimension
The given graph shows the variation of velocity (v) with position...
The given graph shows the variation of velocity (v) with position (x) for a particle moving along
a straight line

Which of the following graph shows the variation of acceleration (a) with position (x)?
a straight line
Which of the following graph shows the variation of acceleration (a) with position (x)?
Options
- A

- B

- C

- D

Correct answer
A. 
Step-by-step solution
(A)
Given line have positive intercept but negative slope.
So its equation can be written as,
(v=-m x+v_{0} \ldots(1))
where (m=\tan
By differentiating with respect to time we get, (m m v)
Now substituting the value of ' ' from equation (1) we get
(m\left[-m x+v_{0}\right]=m^{2} x-m v_{0})
i.e., the graph between a and should have positive slope but negative intercept on acceleration axis.
Hence option (A) is correct.
Given line have positive intercept but negative slope.
So its equation can be written as,
(v=-m x+v_{0} \ldots(1))
where (m=\tan
By differentiating with respect to time we get, (m m v)
Now substituting the value of ' ' from equation (1) we get
(m\left[-m x+v_{0}\right]=m^{2} x-m v_{0})
i.e., the graph between a and should have positive slope but negative intercept on acceleration axis.
Hence option (A) is correct.