Question: You are researching personal watercraft (PWC) safety. These vehicles have a well known safety issue in which the rider loses steering control when there is no thrust from the engine. You want to know for what distance the rider loses control when the machine loses thrust at top speed. The particular PWC you are testing weighs 6.20 × 102 lbs (has mass 281 kg) and has a top speed of 8.0 × 101 mph (36 m/s). It takes 2.0 × 101 s for the watercraft to slow to a safe 2.25 mph (1 m/s).
Question 1: What is the distance covered in that time?
I need help to solve the above question and ignore air resistance, but include a drag force proportional to speed (only the first power, not squared).