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gc physics textbook chapter 3 problems (id: ae9166fe6)

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admin 发表于 2024-9-20 22:48:36 | 显示全部楼层 |阅读模式
本题目来源于试卷: gc physics textbook chapter 3 problems,类别为 IB数学

[问答题]
In archery, should the arrow be aimed directly at the targesgpn i6 scu*z56c9t s/t? Hojc4l4m;p7cjx w should your angle of aim depen;4 j xc4clp7jmd on the distance to the target?




参考答案:
The arrow should be aimed above the target, because gravity will deflect the arrow downward from a horizontal flight path. The angle of aim (above the horizontal) should increase as the distance from the target increases, because gravity will have more time to act in deflecting the arrow from a straight-line path. If we assume that the arrow when shot is at the same height as the target, then the range formula is applicable: $ R=v_{0}^{2} \sin 2 \theta_{0} / g \rightarrow \theta=\frac{1}{2} \sin ^{-1}\left(R g / v_{0}^{2}\right)$ . As the range and hence the argument of the inverse sine function increases, the angle increases.


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