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

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.

i believe the answer is a hope it and is correct