At the Ice Capades two ice skaters pass right by each other while doing a routin

Question

At the Ice Capades two ice skaters pass right by each other while doing a routine where they are wearing direc- tional jet packs. At this moment the skater in the red suit is traveling at a speed of 5 m/s in a direction 30o from the positive x axis towards the negative y axis and the skater in the blue suit is traveling at 4 m/s in the positive y direction. As they pass each other their jet packs turn on, shooting flames for effect and providing each of them a constant acceleration. The acceleration of the skater in the blue suit is in the positive x direction and has a magnitude of 4 m/s2, while the acceleration of the skater in the red suit is in the positive y direction. With their jet packs turned on the entire time, they eventually meet again and pass right by each other. (a) How much time elapses between the two times they are side-by-side? (b) What must the magnitude of the accelera- tion of red skater have been for them to achieve this feat? (c) What is their change in position during this time? (d) What is the final velocity of each skater? Are these safe speeds?

Explanation / Answer

At the Ice Capades two ice skaters pass right by each other while doing a routin

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