question_answer

  A particle moves along x-axis with initial position \[x=0\]. Its velocity varies with x-coordinate as shown in graph. The acceleration 'a? of this particle varies with x as -            

A)   

B)  

C)             

D)  

Correct Answer: A

Solution :

 " The linear relationship between v and x is \[v=-mx+C\] where m and C are positive constants. \[\therefore \]  Acceleration, \[a=v\frac{dv}{dx}=-m(-mx+C)\] \[\therefore \] \[a={{m}^{2}}x-mC\] Hence the graph relating a to x is