D = 6 when v = 20 Work out an equation connecting d and v work out the value of d when v =30

Mathematics

1 answer:

Grace [21]2 years ago

4 0

The value of d is 27/2 when v =30

<h3>What is equation?</h3>

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal

Suppose 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,

d = k v²

d = 6, v = 20,

Substitue the value of d and v into the equation :

6 = k(20)²

k = 6/400

k = 3/200

Substitue the value of k and v =30 into the equation,

d = 3/200(30)²

d = 2700/200

d = 27/2

Hence, the value of d is 27/2 when v =30

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