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, gw0d;z z6gc6 k0e3ogdin meters, of a freely falling object o55g-5fbr /sk z) mdruis proportional to the square of the time of the fall, t, insgr 5 -mfo d/z)5kb5ru 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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