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2-5 一維相對運動
選修物理1-CH2-直線運動 55
25 mph
參考座標:以 觀察者之位置 為原點
的所建立的座標,稱為 參考座標 。
選修物理1-CH2-直線運動 56
一維相對運動
25 mph
運動情形的簡單或複雜,端賴 參
考座標 之選擇
在物理上,選擇參考座標以 簡便
為原則
高中物理,常以 靜止座標 (通常是
地面上某固定點)測量運動的狀態
選修物理1-CH2-直線運動 57
相對位置、相對速度及相對加速度
𝑡 秒
𝑥
𝑦
A
𝑥’
𝑦’
𝑥
𝑥’
𝑦’
𝑥’
𝑥’
𝑦’
𝑢𝑡
A
𝑣
𝑢
𝑥′ = 𝑥 − 𝑢𝑡
𝑣
甲
乙
𝑢
球在甲座標的位置
球在乙座標的位置
𝑡 = 0 乙在甲座標的位置
球相對乙
的位置
球在甲座
標的位置
乙在甲座
標的位置
選修物理1-CH2-直線運動 58
相對位置、相對速度及相對加速度
相對位置
𝑥′ = 𝑥 − 𝑢𝑡
球相對乙
的位置
球相對甲
的位置
乙相對甲
的位置
A
𝑥
𝑥A 𝑥B
球相對於A的位置
球相對於B的位置
𝑥′ = 𝑥 − 𝑥A
𝑥′ = 𝑥 − 𝑥B
選修物理1-CH2-直線運動 59
相對位置、相對速度及相對加速度
𝑥′ = 𝑥 − 𝑢𝑡
球相對乙
的位置
球相對甲
的位置
乙相對甲
的位置
𝑥 = 𝑣𝑡 𝑥′
= 𝑣𝑡 − 𝑢𝑡
𝑥′
𝑡
= 𝑣 − 𝑢
𝑣′ = 𝑣 − 𝑢
球相對乙
的速度
球的對地
速度
乙的對地
速度
選修物理1-CH2-直線運動 60
相對位置、相對速度及相對加速度
𝑣′ = 𝑣 − 𝑢
球相對乙
的速度
球的對地
速度
乙的對地
速度
A、B 兩人對地速度分別為
𝑣𝐴 = 5 m/s
𝑣𝐵 = 10 m/s
相對速度
A 𝑣
𝑣A 𝑣B
球相對於A的速度
球相對於B的速度
𝑣𝐴′ = 𝑣 − 𝑣A
𝑣𝐵′ = 𝑣 − 𝑣B
選修物理1-CH2-直線運動 61
相對運動-基礎題
質點A以2 m/s之速度向東行,質點B以6 m/s向西行,則B看A
之速度為何?若A以向西2m/s之速度,則A看B之速度又如何?
例題12.
選修物理1-CH2-直線運動 62
應用相對運動概念解題
一升降機正以12 m/s之等速度上升,其天花板上懸吊一小球,
離升降機之高度h=2.45 m,若該球突然掉落,則歷時t=______
秒會碰到地板,若該球與地板碰撞時間為0.01 s,且撞後球即
停於升降機地板上,則碰撞時的平均加速度為______。(g=9.8
m/s2)
例題13.

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