11:50 027 Intro t... Intro to 2D Motion AP Physics 1 For each situation, draw a picture including any relevant information. A motorboat is travelling at 8 m/s North relative to the surface of a river flowing at 6 m/s North. 1. What is the boat's velocity relative to the shore? 2. How far does the boat travel in 4 s relative to the shore? A duck is floating in the river, travelling at 0 m/s relative to the river. 1. What is the duck's velocity relative to the shore? 2. What is the duck's velocity relative to the boat? 3. How far does the boat travel in 4 s relative to the duck? 4. How far does the duck travel in 4 s relative to the shore? A time later, the duck flies downriver and lands next to another boat. This boat is travelling East at 8 m/s while the river is still travelling 6 m/s north. The duck, being a simple duck, chooses to keep floating along with the river current. 1. What is the boat's velocity relative to the duck? 2. What is the boat's velocity relative to the shore? 3. How far does the boat travel in 4 s relative to the duck? 4. How far does the boat travel in 4 s relative to the shore? 5. If the boat starts from one side of the river and takes 30 seconds to cross, how wide is the river? 6. During the time to cross, how far downriver has the duck floated? Once the boat crosses the river, the duck flies off at 30 m/s due West at an altitude of 150 meters. Once it is cruising, the duck poops, releasing the poop at an initial velocity of 0 m/s relative to itself. 1. Relative to the duck, what is the initial vertical velocity of the poop? Horizontal velocity? 2. Relative to an observer on shore, what is the initial vertical velocity of the poop? Horizontal velocity? 3. How much time does it take for the poop to fall 150m? 4. By the time the duck's poop hits the ground, what horizontal displacement does the duck perceive the ground to have had? 5. How far does the observer on shore observe the poop to have travelled in the horizontal direction when it hits the ground? 6. To the observer on shore, what is the vertical and horizontal velocity of the poop when it strikes the ground? What is the magnitude of its velocity? At what angle does the poop strike the ground? The duck lands on another boat which is travelling at 20 m/s North relative to the shore. It tosses a dollar coin (also known as a duck bill, since ducks don't understand paper money) in the air directly upwards at 10 m/s relative to itself. 1. According to the duck, what is the maximum vertical displacement of the coin? 2. What is the initial vertical velocity of the coin according to an observer on the shore? 3. According to the observer on shore, what is the maximum vertical displacement of the coin? 4. According to the observer on shore, what horizontal velocity does the coin have when the duck tosses it? 5. According to the observer on shore, how far downriver does the coin travel before it returns to its initial height? 6. What initial velocity (direction and magnitude) did the duck bill have in the duck's reference frame? In the observer's?