Ted is sitting in his lawn chair when Stella flies directlyoverhead, going south

Question

Ted is sitting in his lawn chair when Stella flies directlyoverhead, going southeast at 82.1 m/s. Five seconds later, afirecracker explodes 228 m east of Ted. What are the coordinates ofthe explosion in Stella’s reference frame? Let Stella be atthe origin, with her x-axis pointing to the east.
What is x-component? What is y- component? Ted is sitting in his lawn chair when Stella flies directlyoverhead, going southeast at 82.1 m/s. Five seconds later, afirecracker explodes 228 m east of Ted. What are the coordinates ofthe explosion in Stella’s reference frame? Let Stella be atthe origin, with her x-axis pointing to the east.
What is x-component? What is y- component?

Explanation / Answer

Stella's X coordinate in ted's frame: 82.1 * 5s * cos(45deg) Her Y coordinate: -82.1 * 5s * sin(45deg) So in stella's frame ted is = the explosion happened at ted's coordinate plus 228m in the east(+x) direction so it is:

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