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 1 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 5 m from the dock? (Round your answer to two decimal places.)

1.0198m/s

Explanation:

let the distance of boat from the dock be , then use Pythagorean theorem we have : where the length of the rope:

#Differentiate through with respect to

Finding , and is given as

With at the given instant and

Hence

Rate of decrease of the distance between dock and boat is =1.0198m/s

answer: option c. i.e. electric current flowing “downhill” from the negative electrode to the positive electrode in a battery

explanation:

the water analogy to the circuits define the pipes (water flows) to the electric current. now, we know that the electric current flows from the positive terminal to the circuit (as shown in the diagram attached).

hence, option c is the correct answer.

the answer to this question is 60 n