A boat is pulled into the dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1.4 m/s, how fast is the boat approaching the dock when it is 9 m from the dock?

√82/9 m/s

Explanation:

Let's say x²+1²= y²(y length of rope)

Using Pythagoras

With repect to t diff.

So 2x dx / dt= 2y dy / dt

But dy/ dt = 1.4m/s

X = 9 so from Pythagoras y = √82

So 9dx/dt = √82

So the boat will approved de dock at √82/9 m/s

depends on what you mean by "group." for order, it would be coleoptera (beetles). for class, it would be insecta (insects). for phylum, it would be the arthropoda (animals with jointed exoskeletons).

explanation:

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