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The x-t graph of an object is a straight...

The x-t graph of an object is a straight line inclined to time-axis. What does this statement indicate ?

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To solve the question regarding the x-t graph of an object being a straight line inclined to the time-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Graph**: - The x-t graph represents the position (x) of an object as a function of time (t). A straight line inclined to the time-axis indicates a linear relationship between position and time. 2. **Identifying the Slope**: - The slope of the x-t graph is defined as the change in position (displacement, Δx) divided by the change in time (Δt). Mathematically, this is expressed as: \[ \text{slope} = \frac{\Delta x}{\Delta t} \] 3. **Interpreting the Slope**: - The slope of the x-t graph represents the velocity (v) of the object. Therefore, if the graph is a straight line, the slope is constant, which means the velocity is constant. 4. **Conclusion**: - Since the slope is constant, we can conclude that the object is moving with a uniform or constant velocity. This means that the object covers equal distances in equal intervals of time. ### Final Answer: The statement indicates that the object is moving with a constant velocity. ---

To solve the question regarding the x-t graph of an object being a straight line inclined to the time-axis, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Graph**: - The x-t graph represents the position (x) of an object as a function of time (t). A straight line inclined to the time-axis indicates a linear relationship between position and time. 2. **Identifying the Slope**: ...
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  2. The position-time graph of an object is given below. What is the veloc...

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  3. The x-t graph of an object is a straight line inclined to time-axis. W...

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  4. The position-time (x-t) graph of an object in uniform motion is shown ...

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  5. The position-time (x-t) graph of an object in uniform motion is shown ...

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  6. What is the average velocity of the object during its course of motion...

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  7. If the displacement of an object during its motion is 100 m in a time ...

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  8. An object travels 20 m in 4 s and then another 20 m in 10 s. What is t...

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  9. SI unit of velocity is (i) m/s (ii) m//s^(2) (iii) m (iv) s

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  10. Under what conditions (s) is the magnitude of average velocity of an o...

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  11. A boy swims in a 100 m long pool. He covers 60 m with a velocity of 20...

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  12. If the object is moving with uniform velocity in a given interval of t...

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  13. A particle moves with a uniform velocity of 50 m/s for 20 min. What is...

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  14. The displacement s of an object is given as a function of time t s=5...

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  15. The displacement s of an object is given as a function of time t by th...

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  16. If the velocity of an object is increasing and changing at a uniform r...

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  17. Draw the position-time graph of a moving object, moving with zero acce...

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  18. The velocity-time graph of an object is given below. Calculate the ave...

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  19. Which of the following x-t graphs shows an object moving with negative...

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