You left out a measurement in #2.
. . I'll pick a convenient value . . .
2. A boat is pulled into a dock by a rope attached to the bow of the boat and
passing through a pulley on the dock that is 6 m higher than the bow of the boat.
If the rope is pulled in at a rate of 1 m/s,
how fast is the boat approaching the dock when it is 8 m from the dock?
R * |
* | 6
B * * * * * * *
The boat is at , the pulley is at
The length of the rope is: . . and .
From Pythagorus, we have: .
Differerentiate with respect to time: .
. . and we have: .
Can you finish it now?