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Kinematics (id: db00b1295)

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admin 发表于 2024-8-3 17:23:57 | 显示全部楼层 |阅读模式
本题目来源于试卷: Kinematics,类别为 IB数学

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Note: In this questi6-w,pgc v+kmhcsnk v4k9;rm- .:huui on, disgb-nf6;cq5u wk,;m hgtance is in metres and time is in seconds.
A particle P moves in a straight line for six seconds. Its acceleration during this period is given by $a(t)=-2 t^{2}+13 t-15$ , for $ 0 \leq t \leq 6$ .
1. Write down the values of t when the particle's acceleration is zero.      
2. Hence or otherwise, find all possible values of t for which the velocity of P is increasing.$a \lt t \ly b$ a =    b =   

The particle has an initial velocity of $7 \mathrm{~ms}^{-1}$ .
3. Find an expression for the velocity of P at time t .   
4. Find the total distance travelled by P when its velocity is decreasing.   




参考答案:
空格1: {1.5|5}±2%空格2: {1.5|5}±2%空格3: 1.5±2%空格4: 5±2%空格5: -(2*t^3)/3+(13*t^2)/2-15*t+7空格6: 13.6±2%


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