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Math Help - differentiation - velocity and acceleration

  1. #1
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    differentiation - velocity and acceleration

    Hello everyone,

    I am currently stuck on the following question for exam revision and need help, could someone please go step by step so I understand this.

    The displacement y mm of a slide value of an engine is given by the expression


    y = t2 ln 4t
    3sint

    a) Find the expression for velocity of the valve
    b) Evaluate the velocity in ms-1 when t =20 x 10-3 seconds

    Thank you Phill
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  2. #2
    MHF Contributor

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    Quote Originally Posted by Anamcaraash View Post
    Hello everyone,

    I am currently stuck on the following question for exam revision and need help, could someone please go step by step so I understand this.

    The displacement y mm of a slide value of an engine is given by the expression


    y = t2 ln 4t
    3sint

    a) Find the expression for velocity of the valve
    b) Evaluate the velocity in ms-1 when t =20 x 10-3 seconds

    Thank you Phill
    Do you mean y= \frac{t^2 ln(4t)}{3 sin t}. That's a bit tedious but nothing terribly difficult. Use the "quotient", "product" and "chain rules" (the last just to differentiate ln(4t)). What have you tried and where did you go wrong?
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