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

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32. Colliding marbles The accompanying figure shows an experi-
ment with two marbles. Marble A was launched toward marble
B with launch angle a and initial speed vo. At the same instant,
marble B was released to fall from rest at R tan a units directly
above a spot R units downrange from A. The marbles were found
to collide regardless of the value of vọ. Was this mere coincidence,
or must this happen? Give reasons for your answer.
В
R tan a
Vo
A
a
·R-
Transcribed Image Text:32. Colliding marbles The accompanying figure shows an experi- ment with two marbles. Marble A was launched toward marble B with launch angle a and initial speed vo. At the same instant, marble B was released to fall from rest at R tan a units directly above a spot R units downrange from A. The marbles were found to collide regardless of the value of vọ. Was this mere coincidence, or must this happen? Give reasons for your answer. В R tan a Vo A a ·R-
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