Mark Watney (played by Matt Damon in the Martian movie) and Marvin the Martian (Looney Tunes cartoon character) are having an argument on the surface of Mars (negligible air resistance). They are testing out their new potato launcher that fires projectiles at a consistent speed. Mark first uses the launcher to launch his potato at an angle of θM = 60◦and then Marvin uses it to launch his identical potato at an angle of θm = 30degrees . The launch speed of the potatoes is v0 = 30 m/s. On mars the acceleration due to gravity is about gm = 3.7 m/s2. (A) Calculate the maximum height each potato achieved. (B) Calculate how far away from the launch each potato landed, assuming they land at the same elevation as from which they were launched.

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Projectile Motion