Question

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

Answer 1

$relative \: velocity \: of \: both \: is \: (u - v) \\ \\ distance \: between \: them \: is \: x \: which \: is \: constant \\ \\ them \: time \: taken \: by \: the \: dog \: to \: reach \: cover \: the \: distance \: x \: is = \: x \div (u-v) \\ \\ since \: velocity \: of \: the \: dog \: is \: u \: and \: the \: acceleation \: is \: = \: vilocity \div time \\ then \: acceleationof \: dog \: is \: given \: by \: = \: u \div x \div (u-v) \\ and = u(u-v)÷x \\ this \: is \: the \: answer \: according \: to \: my \: calculations \\ \\ plz \: tell \: me \: if \: it \: is \: wrong$