Identify what the slope of a distance-time graph indicates.Distance travelledHeightAccelerationSpeed
Question
Identify what the slope of a distance-time graph indicates.Distance travelledHeightAccelerationSpeed
Solution
The slope of a distance-time graph indicates Speed.
Here's the step-by-step reasoning:
- Distance-Time Graph: This type of graph plots distance on the y-axis and time on the x-axis.
- Slope Definition: The slope of a graph is defined as the change in the y-axis variable divided by the change in the x-axis variable.
- Slope Calculation: In a distance-time graph, the slope is calculated as the change in distance (Δdistance) divided by the change in time (Δtime).
- Interpretation: The change in distance over time is the definition of speed.
Therefore, the slope of a distance-time graph represents Speed.
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Which of the following is equal to the gradient of a distance-time graph at a given point in time?Total distance travelledSpeedAccelerationDisplacement2An object is at rest. What will its distance-time graph look like?It will be a curveIt will be a horizontal lineIt will be a straight line of positive gradient (it will slope upwards to the right)It will be a straight line of negative gradient (it will slope downwards to the right)3An object accelerates uniformly from rest. What will its distance-time graph look like?It will be a curve of increasing positive gradient (one which gets steeper as time increases)It will be a curve of decreasing positive gradient (one which gets less steep as time increases)It will be a straight line of negative gradient (it will slope downwards to the right)It will be a straight line of positive gradient (it will slope upwards to the right)4Car A is travelling at a steady speed of 10 m/s, and car B is travelling at a steady speed of 20 m/s. How will the distance-time graphs for the motion of both cars compare with one another?The graph for car A will be twice as steep as the graph for car BThe graph for car B will be twice as steep as the graph for car AThe distance travelled by car A at a given point in time will be twice that travelled by car B at the same point in timeBoth graphs will have the same gradient5(HT) An object is accelerating. How can its speed at a given point in time be measured using a distance-time graph of its motion?Divide the total distance travelled at that point by the time takenCalculate the total area under the graph up to that point and divide this value by the timeDraw a tangent to the line at that point and then calculate the gradient of the tangentMultiply the total distance travelled at that point by the time taken
Slope of a position-time graph determines
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