Manipal MET2014PhysicsMotion in One Dimension
The acceleration-time graph of a body is shown below The most probable velocity-time graph of the body is
Correct answer
2
Step-by-step solution
From given a - t graph acceleration is increasing at constant rate aligned & d a d t =k (constant) a=k t (by integration) & d v d t =k t d v=k t d t & d v=k t d t v= k t^2 2 aligned i.e., v is dependent on time parabolically and parabola is symmetric about v -axis and suddenly acceleration becomes zero. i.e., velocity becomes constant. Hence the most stable graph is (c).