Jack was climbing a bean stalk to get the golden goose. Then he freezes 2600 feet up after seeing a giant climbing down towards him. The giant is climbing down at a steady rate of 20 feet per second and never sees Jack. Model the distance between the giant and Jack with an absolute value function if jack first noticed the giant 1000 feet above him and watched him until he reached the ground. Use the model to answer the following questions. Show all relevant work including a graph.