A large cruise ship has a bowling alley straight down the center of the ship, parallel to the sides. If a ball is bowled straight down the center of the alley, explain why the ball might appear to speed up or slow down

Problem 8 It is raining outside. From the perspective of an observer standing on the ground, the raindrops are falling vertically downward at a speed of 12 m/s. You are driving down the highway at a speed of 65 mph (29 m/s). What angle, relative to the horizontal will you see the raindrops falling?

Dr. L. and his cat Kepler are coming home from fishing. They ended their trip on the southbank of a 1200 m wide river, directly across from where Caroline is waiting to pick them upon the north bank. They are in identical boats that travel at 4 m/s (VB) on still water. Theriver is normally ‘lazy’ and flows with negligible velocity. On a calm day, if they pointed theboats north, they would cross the river in exactly 300s. However, today, the river is flowingdue east with a constant velocity (VW) of 1 m/s relative to the ground. Kepler, because shedoesn’t know better (she is a cat after all), has not taken this into account. Without payingattention, Kepler keeps the boat pointed due north for the entire trip. A) Relative to the ground, what is Kepler’s velocity? Derive an algebraic solution(in terms of VB and VW only) and then give a numerical answer (three significant figures isfine) expressed in degrees relative to due north (e.g. ‘42.3° west of north’).

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