Ship Adrift: 500 m from Reef, Can It Escape?

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SUMMARY

An oil tanker, initially 500 meters from a reef, faced a critical situation with its engines broken down and a constant wind speed of 1.5 m/s pushing it towards the reef. After the wind ceased, the engineer successfully restarted the engines, which produce a net horizontal force sufficient to accelerate the tanker backward. The conclusion is that the tanker can escape the imminent danger of the reef.

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An oil tanker's engines have broken down, and the wind is blowing the tanker straight toward a reef at a constant speed of 1.5 m/s . When the tanker is 500 m from the reef, the wind dies down just as the engineer gets the engines going again. The rudder is stuck, so the only choice is to try to accelerate straight backward away from the reef. The mass of the tanker and cargo is , and the engines produce a net horizontal force of on the tanker.
 
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