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N WUIR Alignment 1-Built-In Functions The trajectory of a projectile can be explored by writing the equations of motion along the horizontal and vertical axes

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N WUIR Alignment 1-Built-In Functions The trajectory of a projectile can be explored by writing the equations of motion along the horizontal and vertical axes These can be sumplitice, if at drag is ignored, by noting that and use Further simplification can be had by placing the critin of the coordinate system at the launch point that 1 0 Finally incorporate the launch angle by letting costand i ng Thus Y cost and sort The total time of flight can be found by noting that the vertical velocity. highest point and assuming a simmetrical trajectory about that point S to zero at the Thus =rsan Era s un -gr=0 Finally, the maximum range can be found by plugging the total time of light into the initial equation for motion in the horizontal direction cost .cos022 income) In all cases, use 3 = 322 fts and = 100ES 2. plot the following: a. The flight time for all angles between 0 and 90 b. The range for all angles between 0 and 90 c. The trajectory at the angle of maximum range d. The trajectory at the angle of maximum flight time e. The trajectory necessary to reach a target at 250 ft N WUIR Alignment 1-Built-In Functions The trajectory of a projectile can be explored by writing the equations of motion along the horizontal and vertical axes These can be sumplitice, if at drag is ignored, by noting that and use Further simplification can be had by placing the critin of the coordinate system at the launch point that 1 0 Finally incorporate the launch angle by letting costand i ng Thus Y cost and sort The total time of flight can be found by noting that the vertical velocity. highest point and assuming a simmetrical trajectory about that point S to zero at the Thus =rsan Era s un -gr=0 Finally, the maximum range can be found by plugging the total time of light into the initial equation for motion in the horizontal direction cost .cos022 income) In all cases, use 3 = 322 fts and = 100ES 2. plot the following: a. The flight time for all angles between 0 and 90 b. The range for all angles between 0 and 90 c. The trajectory at the angle of maximum range d. The trajectory at the angle of maximum flight time e. The trajectory necessary to reach a target at 250 ft

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