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Differential Calculus (id: 20361aa11)

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admin 发表于 2024-7-29 23:20:58 | 显示全部楼层 |阅读模式
本题目来源于试卷: Differential Calculus,类别为 IB数学

[填空题]
Note: In this question, distance is in metres alqy46y-sn q0cb,xg0 rnfax es0wg y):ky4c*1 a dimm,7l,4k pmd 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)=2t2+13t15, for 0t6 .
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<t<b a =    b =   

The particle has an initial velocity of 7  ms1 .
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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