Question

A cord is attached to the ceiling at a fixed point and passes through an eye screw 10 meters beyond. On the string, 5 meters from the fixed point, a box is attached. the box is so heavy that the string becomes a straight line both from the fixed point to the box and from the box to the eye screw.
You pull the cord (through the eye screw) at a speed of 1 meter per second. At a time t = t0, the distance from the box to the ceiling is 3 meters. How fast does the box move towards the ceiling?
Hint: draw a drawing and if l (t) is the length of the string between the fixed point and the eye screw and x (t) is the distance between the ceiling and the box

Answer 1