You’re stuck on a raft 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. Part one- How long would it take you to reach the shore after throwing your book? (Ignore friction between the water and the boat.) The shore is 60 m away.

Unfortunately, it starts raining as you float towards the shore. The rain falls
straight down into the boat.

Part 2 (2 points)
10 kg of rainwater has accumulated in the bottom of your boat. What is your speed now?

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.