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Transcribed Image Text:Q4 Billiard Balls
A black billiard ball moves with constant known speed up in a direction given by an
angle with the x-axis. At time t = 0 its position is known to be at the coordinates B
and yß. At a later time t = t₁ the white billiard ball is shot from position with
coordinates *w and yw, and initial velocity v₁ in the positive y-direction. An unusual
friction force gives the white ball a constant acceleration in the negative y-direction with
known magnitude a₁.
‒‒‒‒‒‒‒‒‒
(XB₁YB)
Q4.1 Part a.
1 Point
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Y
vo
Q4.2 Part b.
1 Point
If the white ball is to hit the black ball,
a.
what is the time at which the balls collide?
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VI
(xw, Yw)
X
b. what is the initial speed v₁ that needs to be given to the white ball for the collision
to happen?
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