Resolving the Launch — Two Motions, One Clock

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Resolving the Launch — Two Motions, One Clock – Mechanik
Resolving the Launch — Two Motions, One Clock – Mechanik

Send a cart along the floor at v₀cosθ and a bead up a mast at v₀sinθ, and the ball is wherever the two of them cross — for the whole flight. The amber ray shows where it would be with gravity off, and the ball hangs exactly ½gt² below it, whatever the launch angle.

projectile at an angleresolving vectorscomponentsindependence of motionsuniform acceleration3D

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