When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of the ball as the origin (see figure). Denoting the center coordinate of the basket as (x, y), the shot's height as H₁, and the ball's speed as vo, prove that the shot angle a must satisfy the subsequent relationship to YA make a shot: tan α = v² gx 1+ 1 2g 9x²1 y+ 2v²2, то H₁ Vo H₂

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When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of the ball as the origin (see figure). Denoting the center coordinate of the basket as (x, y), the shot's height as H₁, and the ball's speed as vo, prove that the shot angle a must satisfy the subsequent relationship to make a shot: tan α = v² gx 1 + 1 - (+2) 2g v² y то H₁ H₂
When a basketball player takes a standing shot, a coordinate system Oxy is formed with the
center of the ball as the origin (see figure). Denoting the center coordinate of the basket as
(x, y), the shot's height as H₁, and the ball's speed as vo, prove that the shot angle a must
satisfy the subsequent relationship to
make a shot:
tan α =
v²
gx
1 + 1
- (+2)
2g
v²
y
то
H₁
H₂
Transcribed Image Text:When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of the ball as the origin (see figure). Denoting the center coordinate of the basket as (x, y), the shot's height as H₁, and the ball's speed as vo, prove that the shot angle a must satisfy the subsequent relationship to make a shot: tan α = v² gx 1 + 1 - (+2) 2g v² y то H₁ H₂
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