5. Two carts, A and B, are on the floor of a warehouse. The carts are connected by a rope 25 metres long. The rope is stretched tight and pulled over a pulley attached to a rafter 3 metres above a point Q between the carts (see picture). How fast is the distance y between the cart B and the point Q changing when cart A is 4 metres away from Q and is being pulled away from Q at a speed of 2 metres per second? P (5 marks) PA = ( 32 4 x 2 )