An island is 1 mi due north of its closest point along a straight shoreline. a visitor is staying at a cabin on the shore that is 15 mi west of that point. the visitor is planning to go from the cabin to the island. suppose the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. how far should the visitor run before swimming to minimize the time it takes to reach the island? round your answer to three decimal places and omit units from the answer box.

Imagine an isolated positive point charge q (many times larger than the charge on a single proton). there is a charged particle a (whose charge is much smaller than charge q) at a distance from the point charge q. on which of the following quantities does the magnitude of the electric field created by charge q at particle a's position depend? check all that apply.the type of the charge on the charged particle athe relative orientation between q and a (while the distance between q and a is fixed)the specific location of the charged particle a (while the distance between q and a is fixed)the amount of the charge on the point charge qthe specific location of the point charge q (while the distance between q and a is fixed)the distance between the point charge q and the charged particle athe amount of the charge on the charged particle a