(Solved): An owl Is carrying a mouse to the chicks in its nest. It is 4.00m west and 12.0m ab ...

An owl Is carrying a mouse to the chicks in its nest. It is $$4.00\mathrm{m}$$ west and $$12.0\mathrm{m}$$ above the center of the $$30\mathrm{cm}$$ diameter nest and is flying east at $$3.50\mathrm{m}/\mathrm{s}$$ at an angle $$28^{?}$$ below the horizontal $$12.0\mathrm{m}$$. A sandal is dropped from the top of a $$15.0\mathrm{m}$$ high mast on a ship moving at $$1.73\mathrm{m}/\mathrm{s}$$ due south. (a) Calculate the velocity of the sandal (in $$\mathrm{m}/\mathrm{s}$$ ) relative to the ship when it hits the deck of the ship. $$\mathrm{m}/\mathrm{s}$$ downwards (b) Calculate the velocity of the sandal (in $$\mathrm{m}/\mathrm{s}$$ ) relative to a stationary observer on shore. $$\mathrm{m}/\mathrm{s}$$ o below the horizontal to the south (c) Discuss how the answers give a consistent result for thonnain 7 at which the sandal hits the deck. Near the end of a marathon race, the first two runners are separated by a distance of $$45.0\mathrm{m}$$. The front runner has a velocity of $$3.50\mathrm{m}/\mathrm{s}$$, and the second a velocity of $$4.25\mathrm{m}/\mathrm{s}$$. (a) What is the velocity (in $$\mathrm{m}/\mathrm{s}$$ ) of the second runner relative to the first? $$\mathrm{m}/\mathrm{s}$$ faster than the front runner (b) If the front runner is $$250\mathrm{m}$$ from the finish line, who will win the race, assuming they run at constant velocity? The second runner will win. The first runner will win. (c) What distance (in $$\mathrm{m}$$ ) ahead will the winner be when she crosses the finish line?