1. find the following for path a in figure 2.57: (a) the distance traveled. (b) the magnitude of the…

1. find the following for path a in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.\n2. find the following for path b in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.\n3. find the following for path c in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.

1. find the following for path a in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.\n2. find the following for path b in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.\n3. find the following for path c in figure 2.57: (a) the distance traveled. (b) the magnitude of the displacement from start to finish. (c) the displacement from start to finish.

Answer

Explanation:

Step1: Define distance and displacement concepts

Distance is total path - length, displacement is vector from start to finish.

Step2: Analyze path C

Let's assume start point of path C is at (x = 4) m and end - point is at (x = 8) m.

(a) Calculate distance traveled for path C

The object moves from (x = 4) m to (x = 8) m and then back to (x = 4) m. Distance (d=|8 - 4|+|8 - 4|=4 + 4=8) m.

(b) Calculate magnitude of displacement for path C

The start and end points are the same ((x = 4) m). Magnitude of displacement (|\Delta x|=|4 - 4| = 0) m.

(c) Calculate displacement for path C

Displacement (\Delta x=x_f-x_i), where (x_i = 4) m and (x_f = 4) m. So, (\Delta x=4 - 4=0) m.

Answer:

(a) 8 m (b) 0 m (c) 0 m