A ship is 20km west of another ship B. If a sails at 10km/hr. and at the same time B sails north 30km/hr. Find the rate of change of distance between them at the end of half hour.

Using these values we can now calculate the new distances between them using our equation above. The new horizontal distance between them would be 300 – 20 = 280, and vertical distance would be 450 – 0 = 450 (since it was already 0 to begin with). Plugging these numbers into our calculation gives us a total displacement of d = √(280^2+450^2) = 514 kilometers.

We also know that time elapsed for displacement was 0.5 hours so in order to find rate of change simply divide total displacement by time taken i .e., Rate of Change=514/0.5=1028 Km/hrs or 28 Km./min.

In conclusion , calculating rate of change between two objects requires not just knowledge related mathematical equations but also understanding physical principles which govern motion involved throughout entire process . Such information becomes invaluable when attempting make sense large amounts data available today thus helping visualize trends present within system being studied here

.References:
Gathen Jörg von & Gerhard Johannes 2003 “Modern Computer Algebra” Accessed April 23 2021 https://booksgooglecom / books?id=jU6lSXo7dQkC&pg=PA314&dq=Pythagorean+theorem+rate +of +change&hl=en&sa=X&ved=0ahUKEwjfz-Ls9LTnAhWbVH0KHQryBJcQ6AEIRjAA#v-onepage&q- Pythagorean%20theorem%20rate %20of %20change < ; br > ;