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IB MAI HL Calculus Topic 5.3 Kinematics (id: 958c9e581)

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admin 发表于 2024-3-22 16:02:56 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.3 Kinematics,类别为 IB数学

[填空题]
A drone moves in a straight line and itd8dd 9b7t.by8 qm bo)us velo(tz 1uct49jk uo -w8nncity, $v \mathrm{~ms}^{-1}$ , at time t seconds, is given by v(t)=$\left(t^{2}-2\right)^{2}$ , for $0 \leq t \leq 2 $.
1. Find the initial velocity of the drone.
v(0)=  ms$^{-1}$
2. Find the value of t for which the drone is at rest.
3. Find the total distance travelled by the drone in the first 2 seconds.
d=  m
4. Show that the acceleration of the drone is given by a(t)=$4 t^{3}-8 t $.
a(t)=at$^3$-bt; a=  ,b=  .
5. Find the values of t for which the velocity is positive and the acceleration is negative.




参考答案:
空格1: 4空格2: 3.73空格3: 4空格4: 8


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