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IB MAI HL Functions Topic 2.2 Applications of Functions (id: c3e64604c)

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admin 发表于 2024-2-7 23:49:42 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions,类别为 IB数学

[问答题]
The distance travelled, d, 9el p+3:h4h zsxpv9 qf1wng8ydafz7)9ij7x2 tnf)o uin meters, of a freely falling object is proportional to the square of the time of the fall, t, in seconds. 7j9)zx 2n dafufi )to7
A football dropped from the top of a school building falls a distance of 19.6 m in the first 2 seconds.
1.Show that d(t)=4.9t2.
2.Sketch the curve of d for t>0, clearly showing the point (2,19.6).
The distance covered, s, in meters, by a quad-copter drone undertaking a vertical landing can be modelled by s(t)=8t, where t is the time in seconds after the landing commences.
The football is dropped at the same time as the drone commences a landing from the same height of the school building.
The football covers more distance than the drone when t>p.
3.Find the value of p.




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