On a uniformly rainy day at College students run from building4000 to 3000.
Assume the rain drops hit a circular(radius r) top portion ofstudent's head and a rectangular surface of front(dimensionsaxb).
What is the best speed to move from 4000 to 3000 to absorb theleast amount of rain drops?
1. Fix two points.
2. Draw the path( hopefully a simple curve)
3. Objective function
4. variables and constraints.
5. Final answer for a given r, a and b values.
6. Extra credit, (Does the path affect the rain hits?)
Show work please.
I'm not sure if you need the map but here it is anyways.
On a uniformly rainy day at College students run from building 4000 to 3000. Assume the rain drops hit a circular(radius r) top portion of student's head and a rectangular surface of front(dimensions axb). What is the best speed to move from 4000 to 3000 to absorb the least amount of rain drops? Fix two points. Draw the path( hopefully a simple curve) Objective function variables and constraints. Final answer for a given r, a and b values. Extra credit, (Does the path affect the rain hits?)