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IB MAI HL Functions Topic 2.2 Applications of Functions (id: 5386be013)

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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

[填空题]
When a ball is thrown from the top of a tall building, its heigh e8dw)z3h,)o2dm 0tni4 oycxct aboc8 :jupuchr0 ujz8c-)o(0ft - 8ttzmg ve the ground after t seconds is givenu:ug8cjro0 tc8c zm 0 ) -8tp-tzfhuj( by
s(t)=$at^2$+bt+c, where a,b,c∈R and s(t) is measured in metres. After 1 second, the ball is 84.3 m above the ground; after 2 seconds, 93.9 m; after 8 seconds, 42.3 m.
1.(1)Write down a system of three linear equations in terms of a, b and c.
(2)Hence find the values of a, b and c. a =    b =    c =  
2.Find the height of the building. s =    m
3.Find the time it takes for the ball to hit the ground. t ≈    seconds




参考答案:
空格1: -2.6空格2: 17.4空格3: 69.5空格4: 69.5±2%空格5: 9.5±2%


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