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gc physics textbook chapter 3 problems (id: 30f5861cb)

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admin 发表于 2024-9-21 21:38:16 | 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]
A car is driven 215 km uz 2jjtuk*33h west and then 85 km southwest. What is th h5e01dh 8dqo8fkg 9ki4bvn/o e displacement of the car from the point of orik /0 b94 ikonhd8h8 f1gevoqd5gin (magnitude and direction)? Draw a diagram.




参考答案:
 displacement is  215+85$ \cos 45^{\circ}=275.1 \mathrm{~km}$  and the south displacement is  $85 \sin 45^{\circ}=60.1 \mathrm{~km}$ . The resultant displacement has a magnitude of  $\sqrt{275.1^{2}+60.1^{2}}=281.6 \mathrm{~km} \approx 282 \mathrm{~km}$ . The direction is $ \theta=\tan ^{-1} 60.1 / 275.1=12.3^{\circ} \approx 12^{\circ} $ south of west.


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