At 12:00 noon, Isabel started walking east from her house along a staight road at 2 miles per hour. Her sister left the house to go running at 1:00 p.pm, heading south at 8 miles per hour, also along a staight road. Let the house be at the orgin of a coordinate system with north up.
1. Give coordinates of Isabel's position t hours after noon. Give the coordinates of her sister;s position at the same time.
2.Use the distance formula to write an expression for the distance between Isabel and her sister t hours after noon , assuming t1. Simplify the expression.

Question

At 12:00 noon, Isabel started walking east from her house along a staight road at 2 miles per hour. Her sister left the house to go running at 1:00 p.pm, heading south at 8 miles per hour, also along a staight road. Let the house be at the orgin of a coordinate system with north up.
1. Give coordinates of Isabel's position t hours after noon. Give the coordinates of her sister;s position at the same time.
2.Use the distance formula to write an expression for the distance between Isabel and her sister t hours after noon , assuming t>1. Simplify the expression.