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What does slope of position time graph give?
- a)Both (c) and (d) depending upon the type of graph
- b)acceleration
- c)uniform speed
- d)speed
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
What does slope of position time graph give?a)Both (c) and (d) dependi...
The slope of the position-time graph gives the speed of the object.
Slope is given as
Slope = Position/Time
By definition, speed is given as distance divided by time.
Thus, slope of the position-time graph is speed of the object.
Slope = Position/Time
By definition, speed is given as distance divided by time.
Thus, slope of the position-time graph is speed of the object.
Most Upvoted Answer
What does slope of position time graph give?a)Both (c) and (d) dependi...
The Slope of a Position-Time Graph and its Meaning
The slope of a position-time graph gives the speed of an object at a particular moment in time. The slope is calculated by dividing the change in position by the change in time, which represents the rate of change of position with respect to time. The slope of a position-time graph can be positive, negative, or zero, depending on the direction and magnitude of the motion.
Positive Slope
If the slope of a position-time graph is positive, it means that the object is moving in the positive direction, or to the right, with a constant speed. The greater the slope, the greater the speed of the object. For example, a car moving at a constant speed of 60 km/h will have a steeper slope than a car moving at a constant speed of 30 km/h.
Negative Slope
If the slope of a position-time graph is negative, it means that the object is moving in the negative direction, or to the left, with a constant speed. The greater the magnitude of the slope, the greater the speed of the object. For example, a car moving at a constant speed of -60 km/h will have a steeper slope than a car moving at a constant speed of -30 km/h.
Zero Slope
If the slope of a position-time graph is zero, it means that the object is at rest, or not moving. The slope of the position-time graph remains zero until the object starts moving.
Conclusion
In conclusion, the slope of a position-time graph gives the speed of an object at a particular moment in time. The slope can be positive, negative, or zero, depending on the direction and magnitude of the motion. Therefore, option 'D' is the correct answer.
The slope of a position-time graph gives the speed of an object at a particular moment in time. The slope is calculated by dividing the change in position by the change in time, which represents the rate of change of position with respect to time. The slope of a position-time graph can be positive, negative, or zero, depending on the direction and magnitude of the motion.
Positive Slope
If the slope of a position-time graph is positive, it means that the object is moving in the positive direction, or to the right, with a constant speed. The greater the slope, the greater the speed of the object. For example, a car moving at a constant speed of 60 km/h will have a steeper slope than a car moving at a constant speed of 30 km/h.
Negative Slope
If the slope of a position-time graph is negative, it means that the object is moving in the negative direction, or to the left, with a constant speed. The greater the magnitude of the slope, the greater the speed of the object. For example, a car moving at a constant speed of -60 km/h will have a steeper slope than a car moving at a constant speed of -30 km/h.
Zero Slope
If the slope of a position-time graph is zero, it means that the object is at rest, or not moving. The slope of the position-time graph remains zero until the object starts moving.
Conclusion
In conclusion, the slope of a position-time graph gives the speed of an object at a particular moment in time. The slope can be positive, negative, or zero, depending on the direction and magnitude of the motion. Therefore, option 'D' is the correct answer.
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What does slope of position time graph give?a)Both (c) and (d) depending upon the type of graphb)accelerationc)uniform speedd)speedCorrect answer is option 'D'. Can you explain this answer?
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