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gibson:teaching:fall-2012:math445:lab12 [2012/12/04 06:03] gibson created |
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- | ===== Problem 3: projectile โmotion ===== | + | ====== Math 445: Projectile โmotion โ====== |
It is easy to determine the trajectory of a projectile subject to gravity if you neglect air resistance. using elementary physics and calculus, you can show that a projectile will travel farthest across a flat surface if you shoot it at an angle $\theta = \pi/4$ above the horizontal. In this problem you will determine the optimal angle and the maximum range of a projectile subject to air resistance. Use the following equations of motion, developed during class | It is easy to determine the trajectory of a projectile subject to gravity if you neglect air resistance. using elementary physics and calculus, you can show that a projectile will travel farthest across a flat surface if you shoot it at an angle $\theta = \pi/4$ above the horizontal. In this problem you will determine the optimal angle and the maximum range of a projectile subject to air resistance. Use the following equations of motion, developed during class |