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 travellex 9v7tc z paym)s(vj k)oo2)9vd, d, in meters, of a freelyqf5drd ( tp0fri3xn( e5* 5jtn falling object is proportional to the square of the time of the fp5*j (fe qxnrid(nf355trt0 dall, t, in seconds.
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)=4.9$t^2$.
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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