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Motion in 2D: Maximum range of projectile down the incline

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1) a) Find the angle required to maximize the range down an incline which is pitched at an angle of −θ with respect to the horizontal and the projectile is shot an angle of φ above the incline at a speed of v0 .

b) Determine the distance down the incline at the angle found in a).

c) Plot the trajectory given by the angle found in a) from t = 0 until the projectile hits the incline with a thick red line for a particular choice of numerical parameters. Then combine this graph with a graph which is manipulated with φ to graphically show the maximum range angle.

Please show all work!

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A very good solution to learn projectile motion on an inclined plane.

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