Time displacement (t-x) graph of two objects A and B is shown in Fig. The ration of their speeds [VA/VB] is (tan 37o = 3/4)
Correct answer: A. Option A: 4⁄3
- A. Option A: 4⁄3
- B. Option B: 3⁄4
- C. Option C: 1
- D. Option D: 1⁄2
Explanation
The time-displacement graph provides the slopes of the lines for objects A and B, which represent their velocities. The slope for object A is given by tan(37°) = 3/4, which means the velocity of A is proportional to 3. For object B, considering the reciprocal nature of slopes, its velocity is proportional to 4. Therefore, the ratio of their speeds VA/VB is (3/4) / (4/3) = 4/3, making Option A the correct choice. Option B incorrectly assumes the inverse relationship of the slopes. Option C suggests that both objects have the same velocity, which is incorrect as their slopes differ. Option D incorrectly calculates the ratio, disregarding the correct relationship between the slopes.
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