precalculus 12 grade

Question

The diameter of the largest particle that can be moved by a stream varies directly with the square of the velocity of the stream. A stream in the Great Smokey Mountains has velocity of 2 miles per hours can move a particle0.2 inches in diameter. What velocity is needed to move a particle 0.5 inches in diameter? Rounded your answers to 3 decimal place

Answer 1

d = kv²

0.2 = k(2)² So, k = 0.05

d = 0.05v²

So, when d = 0.5, 0.5 = 0.05v²

Solve for v.