Filming Ingenuity

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Related Rates and Filming the Mars Ingenuity Helicopter

NASA plans on using the Perseverance rover to film the Ingenuity mars helicopter as it flies away from it on its next flight. In particular, it will be flying at a rate of 10 meters per second at a constant 5 meters above the rover's camera and will be traveling directly away from the rover. Determine how fast must the rover's camera's angle be programmed to decrease when Ingenuity has a horizontal distance of 25 meters away from the Perseverance rover? Round your answer to three decimal places. Note that if NASA gets it wrong, then the flight will be a disaster, since Ingenuity will not be filmed. After you put in the angle, click on the "Fly" button and watch what happens.

$mars1.png$

rad/sec

$Mars Picture$ $Mars Helicopter$

Pictures by NASA, JPL-Caltech

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