You are stuck in a boat in the middle of a lake. Luckily, you brought your Physics book! You decide to use your book to propel you back to the shore. You throw your 1 kg book overboard with a speed of 10 m/s to propel yourself back towards the shore. Assume the combined mass of you and the boat is 100 kg. (i) How long would it take you to reach the shore which is 60 m away from the boat after throwing your book? (Ignore friction between the water and the boat.) (ii) It starts raining as you float towards the shore. The rain falls straight down into the boat. 10 kg of rainwater has accumulated at the bottom of your boat. What is your speed now?
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