Question
A boat pulls away from a dock at 2 m/s, but the operator has neglected to remove the tow rope used to pull the boat up to the dock. This rope runs thru a pulley which is attached to the dock at a point 1 m higher than the point at which the rope is attached to the boat.
A) How fast is the rope being pulled out when the boat is 3 m away from the dock
B) How fast is the rope is pulled as the distance from the dock grows large? Justify your answer
A) How fast is the rope being pulled out when the boat is 3 m away from the dock
B) How fast is the rope is pulled as the distance from the dock grows large? Justify your answer
Answers
Steve
at a distance x, the length of rope (z) is
z^2 = x^2+1
now just find dz/dx at x=3
it should be clear how z changes when x is large.
z^2 = x^2+1
now just find dz/dx at x=3
it should be clear how z changes when x is large.
Steve
oops. I meant find dz/dt.