Answer to Question #61983 in Mechanics | Relativity for Robert Olvera

Question

A football coach starts at the 10 yard line (A) and walks to the 40- yard line (B) in 3 minutes. He turns around and walks to the 0- yard line (C) in the next 2 minutes. He turns around again and walks back to the 50- yard line (D) in the next 3 minutes. He turns around once more and walks back to the 25 yard line (E) in the next two minutes, thus completing his 10 minute of pacing. The coach's overall displacement is

Answer 1

Let 0 on x-axis coincides with 0-yard line and x-axis directed towards the 50-yard line.
Coach’s overall displacement is the vector that connecting the initial and final position of coach. So, it is the vector with absolute value (25-10)=15 yd and direction that coincides with the x-axis.