54 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) X= 4 PA = (32+2) 2 2 = 3. dPA dt = = ( 3 * +x 3 ) - 2x . It 5 Co X= 4 ex 20 Of - 2 A B 9.774 dPA _ - :8.2 X Q It = 2525 - 200 .1 6 4m - 1 /