The accompanying figure shows an experiment with two marbles. Marble A was launched toward marble B with launch angle α and initial speed ν₀. At the same instant, marble B was released to fall from rest at R tan α units directly above a spot R units downrange from A. The marbles were found to collide regardless of the value of ν₀. Was this mere coincidence, or must this happen? Give reasons for your answer.

Transcribed Image Text:

A Aa -R— B ર R tan a