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A velocity-time graph gives (i) the distance (ii) the displacement (iii) the acceleration (iv) the speed
  • a)
    (i) and (ii) only 
  • b)
    (ii) and (iii) only
  • c)
    (i) and (iii) only           
  • d)
    (i), (ii) and (iii)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A velocity-time graph gives (i) the distance (ii) the displacement (ii...
 (ii) and (iii) only
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Most Upvoted Answer
A velocity-time graph gives (i) the distance (ii) the displacement (ii...
The correct answer is option 'B' - (ii) and (iii) only.

Explanation:
A velocity-time graph shows the relationship between velocity and time. It plots the velocity (y-axis) against time (x-axis). Here's what the different components of the graph represent:

(i) Distance: The distance traveled by an object is not directly represented on a velocity-time graph. The graph only shows the object's velocity at different points in time, not the actual distance covered.

(ii) Displacement: The displacement of an object can be determined from a velocity-time graph. Displacement refers to the change in position or the net distance traveled from the starting point to the ending point. On a velocity-time graph, the displacement can be calculated by finding the area under the graph. The area under the graph represents the displacement because it takes into account both the magnitude and direction of the velocity.

(iii) Acceleration: The acceleration of an object can also be determined from a velocity-time graph. Acceleration refers to the rate at which an object's velocity changes over time. On a velocity-time graph, acceleration is represented by the slope of the line or curve. A steeper slope indicates a higher acceleration, while a flatter slope indicates a lower acceleration. The slope can be calculated by dividing the change in velocity by the change in time.

(iv) Speed: The speed of an object is not directly represented on a velocity-time graph. The graph only shows the object's velocity at different points in time, which includes both the magnitude and direction of the velocity. Speed, on the other hand, is the magnitude of velocity without considering the direction. Therefore, the speed cannot be determined solely from a velocity-time graph.

In conclusion, a velocity-time graph provides information about the displacement and acceleration of an object. It does not directly represent the distance or speed. Therefore, the correct answer is option 'B' - (ii) and (iii) only.
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A velocity-time graph gives (i) the distance (ii) the displacement (iii) the acceleration (iv) the speeda)(i) and (ii) onlyb)(ii) and (iii) onlyc)(i) and (iii) only d)(i), (ii) and (iii)Correct answer is option 'B'. Can you explain this answer?
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