You want to get from a point A on the straight shore of the beach to a buoy which is 56 meters out in the water from a point B on the shore. B is 70 meters from you down the shore. If you can swim at a speed of 5 meters per second and run at a speed of 7 meters per second, at what point along the shore, x meters from B, should you stop running and start swimming if you want to reach the buoy in the least time possible? Find a formula for the time spent in terms of x T(x) = Find the value for x that will minimize the total time spent running and swimming. x =
