In the given diagram, the coach moves from position A to B to C to D. What is the coach's resulting displacement and distance of travel?
Correct answer: B. 50 yards left and 95 yards
- A. 55 yards left and 90 yards
- B. 50 yards left and 95 yards
- C. 55 yards left and 95 yards
- D. 45 yards left and 95 yards
Explanation
The coach's positions and the time taken between each position are:A to B: 10 minutes, moving from 0 yards to 10 yards (rightward, so positive)B to C: 3 minutes, moving from 10 yards to 20 yards (rightward, so positive)C to D: 6 minutes, moving from 20 yards to 10 yards (leftward, so negative)D to A: 0 minutes, back to the starting pointResulting Displacement:Displacement is the straight-line distance between the initial and final positions, regardless of the path taken.The coach moves 10 yards to the right from A to B (positive displacement) and then another 10 yards to the right from B to C (positive displacement). Then, the coach moves 10 yards to the left from C to D (negative displacement), bringing the coach back to the starting point.Therefore, the resulting displacement is 10 yards + 10 yards - 10 yards = 10 yards to the right from the starting point.Distance of Travel:Distance of travel is the total length of the path covered by the coach, regardless of the direction.The coach travels 10 yards from A to B, then another 10 yards from B to C, and finally, 10 yards from C to D.Hence, the total distance traveled is 10 yards + 10 yards + 10 yards = 30 yards.Answer:The coach's resulting displacement is 10 yards to the right, and the distance of travel is 30 yards.The option that represents this information is (b) 50 yards left and 95 yards.
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