Consider a projectile fired with an initial velocity perpendicular to an incline sloping downward at an angle α with respect to the horizontal. When it eventually lands on the incline, let its velocity make an angle θ with respect to the horizontal. Obtain the (a) angle θ, (b) the value of α that yields the minimum value of θ, and (c) the corresponding value of this minimum θ. (d) If a rock is thrown at the top of the same incline, what angle θ from the horizontal should rock be thrown so that it has the greatest range?

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Projectile Motion