1. The problem statement, all variables and given/known data 2) One end of a rope is tied to a box. The other end is passed over a pulley 5 m above the floor and tied at a level 1 m above the floor to the back of a truck. The rope is L meters long. If the rope is taut and the truck moves at ½ m/s: a. How fast is the box rising when the truck is 3 m from point directly below the pulley? b. How far will the truck have to move to raise the box from the floor to a height of 2 m? 2. Relevant equations Known: dx/dt = 0.5 m/s x^2 + 16 = z^2 (length of rope from pulley to truck) z + (5-y) = L (length of rope) 3. The attempt at a solution for a: 2x dx/dt = 2z dz/dt and dz/dt - dy/dt = 0, therefore dz/dt = dy/dt dy/dt = x/z dx/dt z = sqr (x^2 + 16) dy/dt = x/[sqr (x^2 + 16)]* 0.5, where x=3 dy/dt = 0.3 m/s <---- someone verify? For part B: Not sure, just know that I need to find x, giving y.