1. A spider moves on a wall along the path shown in the figure. The spider's position and velocity is indicated at t; = 0 and t = 6.00 seconds. The spider's initial velocity v; = 0.100 m/s is toward the North and final velocity vệ = 0.100 m/s is toward the East. Determine the following: a) The x- and y-components of the displacement b) The x- and y-components of the average velocity c) The x- and y-components of the average acceleration. y (m) U 0.100 m/s 0.350 U=0.100 m/s 0.150 x (m) 0.100 0.400

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Statement**

1. A spider moves on a wall along the path shown in the figure. The spider’s position and velocity is indicated at \( t_i = 0 \) and \( t_f = 6.00 \) seconds. The spider’s initial velocity \( v_i = 0.100 \, \text{m/s} \) is toward the North and final velocity \( v_f = 0.100 \, \text{m/s} \) is toward the East. Determine the following:
   a) The x- and y-components of the displacement.
   b) The x- and y-components of the average velocity.
   c) The x- and y-components of the average acceleration.

**Diagram Explanation**

The diagram is a 2D coordinate system with x and y axes, both labeled in meters. The path of the spider is illustrated with a dashed line going from the initial position \( (x = 0.100, y = 0.150) \) toward the final position \( (x = 0.400, y = 0.350) \).

- The initial position \( (t_i) \) is marked with an arrow indicating the initial velocity \( v_i = 0.100 \, \text{m/s} \) pointing upwards, showing the direction is North.
  
- The final position \( (t_f) \) is marked with an arrow indicating the final velocity \( v_f = 0.100 \, \text{m/s} \) pointing to the right, showing the direction is East.
Transcribed Image Text:**Problem Statement** 1. A spider moves on a wall along the path shown in the figure. The spider’s position and velocity is indicated at \( t_i = 0 \) and \( t_f = 6.00 \) seconds. The spider’s initial velocity \( v_i = 0.100 \, \text{m/s} \) is toward the North and final velocity \( v_f = 0.100 \, \text{m/s} \) is toward the East. Determine the following: a) The x- and y-components of the displacement. b) The x- and y-components of the average velocity. c) The x- and y-components of the average acceleration. **Diagram Explanation** The diagram is a 2D coordinate system with x and y axes, both labeled in meters. The path of the spider is illustrated with a dashed line going from the initial position \( (x = 0.100, y = 0.150) \) toward the final position \( (x = 0.400, y = 0.350) \). - The initial position \( (t_i) \) is marked with an arrow indicating the initial velocity \( v_i = 0.100 \, \text{m/s} \) pointing upwards, showing the direction is North. - The final position \( (t_f) \) is marked with an arrow indicating the final velocity \( v_f = 0.100 \, \text{m/s} \) pointing to the right, showing the direction is East.
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