Question: (a) A block starts at rest and slides down a frictionless plane inclined at angle . What should be so that the block travels

(a) A block starts at rest and slides down a frictionless plane inclined at angle θ. What should θ be so that the block travels a given horizontal distance in the minimum amount of time?

(b) Same question, but now let there be a coefficient of kinetic friction, µ, between the block and the plane.

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