Power p is the rate at which energy e is consumed per unit time. ornithologists have found that the power consumed by a certain pigeon flying at velocity v m/s is described well by the function p(u) = 200- + 10-303 j/s. assume that the pigeon can store 6 x 104 j of usable energy as body fat.
1. find the velocity up min that minimizes power consumption. (use decimal notation. give your answer to two decimal places.) up min m/s
2. find the total distance traveled by the pigeon flying at velocity v m/s. (use symbolic notation and fractions where needed.) d(u) = 1 m migrating birds are smart enough to fly at the velocity that maximizes distance traveled rather than minimizes power consumption.
3. find the velocity vd max that maximizes the total distance. (use decimal notation. give your answer to two decimal places.) vd max m/s find the maximum total distance that the bird can fly. (use decimal notation. give your answer to two decimal places.)