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Thread: Differentiation Question Help

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    Differentiation Question Help

    A body starts from rest and moves in a straight line so that its velocity v ms^-1 after t seconds is given by v = 2t + 6t^2. Calculate:

    (a) its acceleration at the end of the first second

    (b) its displacement after 5 seconds, given that the body is initially at zero displacement.

    I have solved (a), however I am struggling with (b)


    note: This question is from the differentiation chapter in my textbook therefore I believe that a method other than integration should be used.

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    Re: Differentiation Question Help

    I think they want you to use integration hence they have specified an initial condition for the body's displacement- indicating that the constant is zero. Also note that the acceleration is not uniform as the velocity function forms a parabola- so we can't use shape formulas like area of a triangle.
    Last edited by HoldingOn; 23 Dec 2018 at 11:04 AM.

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    Re: Differentiation Question Help

    Sketch velocity and find area? it woul;d be an approximate though.


    isnt primitive functions in differentiation chap?

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    Re: Differentiation Question Help

    This question is from Chapter 7 - Calculus - Introduction to Differentiation; from the textbook New Senior Mathematics Advanced Year 11&12, Third Edition. Primitive functions are not introduced until Chapter 16 - The anti-derivative.

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    Re: Differentiation Question Help

    Quote Originally Posted by 202025 View Post
    This question is from Chapter 7 - Calculus - Introduction to Differentiation; from the textbook New Senior Mathematics Advanced Year 11&12, Third Edition. Primitive functions are not introduced until Chapter 16 - The anti-derivative.
    The only way I can see how to do it without integration is taking the average velocity and then multiplying by the time. But this would only give you an approximation.
    Last edited by HoldingOn; 23 Dec 2018 at 3:22 PM.

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    Re: Differentiation Question Help

    What does the answer say?

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    Re: Differentiation Question Help

    Quote Originally Posted by 202025 View Post
    note: This question is from the differentiation chapter in my textbook therefore I believe that a method other than integration should be used.
    Instead of integration, use anti-differentiation - problem solved Merry Christmas!
    HoldingOn likes this.

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    Re: Differentiation Question Help

    O wow just blew all of our ideas, Good job hahahah
    weaknuclearforce likes this.

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