A force of magnitude F acting in the x-direction on a 1.0-kg particle varies in time as shown in the figure. Find the final velocity of the particle if it is initially moving along the x-axis with a velocity of 2.0 m/s. F(N) 20 000 15 000 10 000 5 000 0 F = 18 000 N 1 2 3 O a. 11.5 m/s Ob. None of these choices. O c. 17.5 m/s O d. 27.5 m/s O e. 13,500 m/s O f. 15.5 m/s t (ms)

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A force of magnitude \( F \) acting in the \( x \)-direction on a 1.0-kg particle varies in time as shown in the figure. Find the final velocity of the particle if it is initially moving along the \( x \)-axis with a velocity of 2.0 m/s.

**Graph Explanation:**
- The graph shows force \( F \) in newtons (N) on the y-axis and time \( t \) in milliseconds (ms) on the x-axis.
- The graph is a triangle with a peak force of 18,000 N at 1 ms and returns to 0 at 2 ms, ending at 3 ms.
- The force increases from 0 N to 18,000 N from 0 ms to 1 ms and decreases back to 0 N at 2 ms.
  
**Answer Choices:**
- a. 11.5 m/s
- b. None of these choices.
- c. 17.5 m/s
- d. 27.5 m/s
- e. 13,500 m/s
- f. 15.5 m/s
Transcribed Image Text:A force of magnitude \( F \) acting in the \( x \)-direction on a 1.0-kg particle varies in time as shown in the figure. Find the final velocity of the particle if it is initially moving along the \( x \)-axis with a velocity of 2.0 m/s. **Graph Explanation:** - The graph shows force \( F \) in newtons (N) on the y-axis and time \( t \) in milliseconds (ms) on the x-axis. - The graph is a triangle with a peak force of 18,000 N at 1 ms and returns to 0 at 2 ms, ending at 3 ms. - The force increases from 0 N to 18,000 N from 0 ms to 1 ms and decreases back to 0 N at 2 ms. **Answer Choices:** - a. 11.5 m/s - b. None of these choices. - c. 17.5 m/s - d. 27.5 m/s - e. 13,500 m/s - f. 15.5 m/s
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