(Solved): You must get from a point on the straight shore of a lake to a stranded swimmer who is 50 meter ...

You must get from a point ???? on the straight shore of a lake to a stranded swimmer who is 50 meters from a point ???? on the shore that is 50 meters from you. If you can swim at 2 m/s and run at a speed of 4 m/s, at what point along the shore, ???? meters from ????, should you stop running and start swimming if you want to reach the swimmer in the minimum time? a) Find the function ???? that gives the travel time as a function of ????, where 0 ? ???? ? 50. b) Find the distance you should run to minimize the travel time. What is the minimum travel time?

2. You must get from a point P on the straight shore of a lake to a stranded swimmer who is 50 meters from a point Q on the shore that is 50 meters from you. If you can swim at 2 m/s and run at a speed of 4 m/s, at what point along the shore, x meters from Q, should you stop running and start swimming if you want to reach the swimmer in the minimum time? a) Find the function T that gives the travel time as a function of x, where 0 ? x ? 50. 50 Q swim 50-x run X b) Find the distance you should run to minimize the travel time. What is the minimum travel time? P