Question

B. Relative Velocities in 2-D (the easy version) A Pontiac is moving 30 miles/hour due north relative to a gas station. The gas station is moving exactly 60 miles/hour due cast relative to a Toyota. . How fast and in what direction is the Toyota moving relative to the gas station? 2. How fast and in what direction is the gas station moving relative to the Pontiac? 3. Draw a bird's-eye-view diagram of the two velocities, from the gas station's frame of reference. The diagram should TWO VECTOR ARROWS: One arrow shows the velocity of the Toyota relative to the gas station. The other arrow shows the velocity of the Pontiac relative to the gas station. 4. What is the velocity (speed and direction) of the Toyota relative to the Pontiac? III. EXTRA CREDIT A. Relative Positions in 2-D (the hard version) A Pontiac is parked 30 miles, in the direction 30 degrees North-East, from a Toyota. The Toyota is parked 60 miles, in the direction 20 degrees South-East, from a certain gas station. 2. Use the following steps to create a bird's-eye-view diagram of this situation: a. Draw a dot for the gas station. Label it with a G b. Draw a very light (pencil) east-west line running through the gas station. c. Draw a dot for the Toyota and draw an arrow from the gas station to the Toyota Do your best to estimate a 20° angle south-cast from the gas station. Draw a dot for the Pontiac and draw an arrow from the Toyota to the Pontiac. Do your best to estimate a 30° angle north-cast from the Toyota. d. 3. How far and in what direction is the Toyota from the Pontiac? 4. How far and in what direction is the gas station from the Toyota? 5. Draw an arrow from the gas station to the Pontiac. s everything you know about vectors, components, and trigonometry to find the exact tation to the Pontiac,