IB MAI HL Functions Topic 2.2 Applications of Functions (id: 689e02bf0)

本题目来源于试卷: IB MAI HL Functions Topic 2.2 Applications of Functions，类别为 IB数学

[填空题]
A cannon-ball is fired from the top of a tower. The height,/pz;(5zyfyt :ex ze,t ℎh, in metres, oki lj)q(j. yb 6gm4xl)f the cannon-ball above the ground is modelled by the fun4jl)6x i(qbjk.ym l) gction
h(t)=−2$t^2$+20t+8,t≥0,​where t is the time, in seconds, since the moment the cannon-ball was fired.
1.Write down the height of the tower. h =    m
2.Calculate the height of the cannon-ball 5 seconds after it was fired.
The cannon-ball hits its target on the ground n seconds after it was fired. h =    m
3.Find the value of n. n ≈   
4.Find h′(t). h′(t) = at +b a =    b =   
5.Calculate the maximum height reached by the cannon-ball, and write down the corresponding time t.
6.Determine the total time the cannon ball was above the height of the tower. t =    seconds

参考答案:
空格1: 8±2%  空格2: 58±2%  空格3: 10.4±2%  空格4: -4  空格5: 20  空格6: 10±2% 


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