Question

A dog chasing the cat who is running along a striaght line at constant speed u . The dog moves with constant speed v, always heading towards the cat. Initially i.e. at t = 0 , the velocity of the dog and the cat are perpendicular and then initial perpendicular distance between them is 1. The dog catches the cat at ?

Answer 1

@Callisto

Answer 2

This is one of the classic questions on this topic .But I have to leav now .can definitely answer tomorrow is that OK @mathslover ?

Answer 3

If they are perpendicular, that meas they intresect at a 90º angle.
the distance between them (i think hypotenusre) = 1

Answer 4

How did I end up in physics section Lol.

Answer 5

Let time taken be t,
then

(v cosx) t = 1 ...(1)
u = vsinx ..(2)

Just eliminate x to solve for t