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  • Perplex
    IB Math AAHL
    /
    Integration
    /

    Problem Bank

    [Maximum mark: 4]

    Consider a vehicle moving along a straight road with velocity

    ​
    v(t)=2+t1000​
    ​

    for ​0≤t≤5​ (time in seconds).

    1. Write down, without evaluation, the definite integral that gives the total distance ​D​ travelled from ​t=0​ to ​t=5.

      [1]
    2. Evaluate​∫05​2+t1000​dt.

      [2]
    3. State, in context, what the numerical value of ​D​ represents.

      [1]

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