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What is the slope of distance-time graph when object is at rest?
- a)Decreases continuously
- b)Zero
- c)Increases continuously
- d)One
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the slope of distance-time graph when object is at rest?a)Decr...
Since The Body is at Rest ,It clearly means that The Body hasn't covered any Distance here.So,Distance is equal to zero.So,There is no meaning of having any slope here.. So,The Slope=0 Becoz The Distance at anytime will represent same point in Distance-Time Graph at 0..So,(B)is d correct answer. .
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Community Answer
What is the slope of distance-time graph when object is at rest?a)Decr...
The slope of a distance-time graph when an object is at rest is zero.
Explanation:
When an object is at rest, it means that it is not moving. In terms of a distance-time graph, this is represented by a horizontal line. The slope of a line is defined as the change in the y-coordinate (distance) divided by the change in the x-coordinate (time).
Definition of slope:
Slope = (change in y-coordinate)/(change in x-coordinate)
When the object is at rest:
- The distance remains constant since the object is not moving.
- The time continues to increase, but the distance remains the same.
Calculation of slope:
When there is no change in the distance (y-coordinate), the numerator of the slope formula becomes zero.
- Slope = (change in distance)/(change in time)
- Since the change in distance is zero, the numerator becomes zero.
- Slope = 0/(change in time) = 0
Interpretation of the result:
A slope of zero indicates that there is no change in distance per unit change in time. In other words, the object is not moving and remains at rest. Therefore, the correct answer is option B - zero.
Summary:
When an object is at rest, the slope of its distance-time graph is zero. This indicates that there is no change in the distance traveled by the object for each unit change in time.
Explanation:
When an object is at rest, it means that it is not moving. In terms of a distance-time graph, this is represented by a horizontal line. The slope of a line is defined as the change in the y-coordinate (distance) divided by the change in the x-coordinate (time).
Definition of slope:
Slope = (change in y-coordinate)/(change in x-coordinate)
When the object is at rest:
- The distance remains constant since the object is not moving.
- The time continues to increase, but the distance remains the same.
Calculation of slope:
When there is no change in the distance (y-coordinate), the numerator of the slope formula becomes zero.
- Slope = (change in distance)/(change in time)
- Since the change in distance is zero, the numerator becomes zero.
- Slope = 0/(change in time) = 0
Interpretation of the result:
A slope of zero indicates that there is no change in distance per unit change in time. In other words, the object is not moving and remains at rest. Therefore, the correct answer is option B - zero.
Summary:
When an object is at rest, the slope of its distance-time graph is zero. This indicates that there is no change in the distance traveled by the object for each unit change in time.
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