Question

D is directly proportional to the square of v.

Answer 1

Answer:

d=kv^2

Step-by-step explanation:

Insert the constant of proportionality i.e k

Answer 2

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,

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

$6 = k(400)$

$\frac{6}{400} = k$

$k = \frac{3}{200}$

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