The variation of velocity of a particle with time moving along a straight line is illustrated in the following figure. The distance travelled by the particle in four seconds is :
Correct answer: A. 60m
- A. 60m
- B. 55m
- C. 25m
- D. 30m
Explanation
To find the distance traveled, we calculate the area under the velocity-time graph. Step 1: Break down the graph into sections. The graph is divided into four sections: 0-1s, 1-2s, 2-3s, and 3-4s. Step 2: Calculate the area for each section: 0-1s: (1/2) x 1 x 20 = 10 m; 1-2s: 1 x 20 = 20 m; 2-3s: 1 x 20 = 20 m; 3-4s: 1 x 10 = 10 m. Step 3: Sum the areas. Total distance = 10 + 20 + 20 + 10 = 60 m.
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