A cat runs along a straight line with constant velocity of magnitude v. A dog chases the cat such that the velocity of dog is always directed towards the cat. The speed of dog is 'u' and always constant. At the instant both are separated by distance x and their velocities are mutually perpendicular. the magnitude of acceleration of dog is.
Answers
Answer:
Pursuit curve
Explanation:
A cat runs along a straight line with constant velocity of magnitude v. A dog chases the cat such that the velocity of dog is always directed towards the cat. The speed of dog is 'u' and always constant. At the instant both are separated by distance x and their velocities are mutually perpendicular. the magnitude of acceleration of dog is.
Such Problems can be solved using Pursuit curve
The notion of pursuit curve refers to the trajectory of a moving point M (the Dog or the chasing plane) the movement of which is, at every instant, oriented in the direction of another moving point M0 (the Cat, or the chased plane), the trajectory of which is called escape curve.
A curve of pursuit is a curve constructed by analogy to having a point or points representing pursuers and pursuees; the curve of pursuit is the curve traced by the pursuers. With the paths of the pursuer and pursuee parameterized in time, the pursuee is always on the pursuer's tangent.
This is a quite complex .
This problem is of a level of higher education.
Not of a 12th Level.