d is directly proportional to the square of v. d = 6 when v = 20 Work out an equation connecting d and v.

Question

d is directly proportional to the square of v.
d = 6 when v = 20
Work out an equation connecting d and v.

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Jasmine 2 weeks 2021-09-13T16:22:30+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T16:23:45+00:00

    Answer:

    The equation is,

    d =  \frac{3}{200}  {v}^{2}

    Step-by-step explanation:

    Given that d is directly proportional to the square of v. So the equation is, d ∝ v² equals to d = kv² where k is a constant. So in order to find the value of k, you have to substitue the value of d and v into the equation :

    d \: ∝ \:  {v}^{2}

    d = k {v}^{2}

    Let d = 6,

    Let v = 20,

    6 = k( {20)}^{2}

    6 = k(400)

     \frac{6}{400}  = k

    k =  \frac{3}{200}

    d =  \frac{3}{200}  {v}^{2}

    0
    2021-09-13T16:24:14+00:00

    Answer:

    d=kv^2

    Step-by-step explanation:

    Insert the constant of proportionality i.e k

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