When looking at a distance vs. time graph, it shows how far an object is traveling over a certain amount of time which can be written like this:
distance per time or distance/time (distance divided by time)
If we then put units in for distance (let's say meters) and time (seconds) we get this:
meters/seconds
which is the same as the units for speed.
The graph of distance vs time increases exponentially as speed increases.
Speed (in the radial direction) = slope of the graph.
A speed graph measures the distance devided over time. Acceleration graph measures the change in speed over time.
Steep slope on a distance/time graph indicates high speed.
The gradient of a distance-time graph gives the object's speed.
The variable plotted along the vertical axis is the distance in the first case, speed in the second. The gradient of (the tangent to) the distance-time graph is the speed while the area under the curve of the speed-time graph is the distance.
speed is the gradient under the distance vs time graph which is change in distance /change in time
The slope of a distance vs. time graph is a measure of the rate of change of the distance over time. It tells you the speed at which the distance is changing. If the slope is positive it means the distance is increasing with time. If the slope is negative it means the distance is decreasing with time. If the slope is zero it means the distance is not changing with time. Positive slope: distance is increasing with time. Negative slope: distance is decreasing with time. Zero slope: distance is not changing with time.The slope of the graph can be used to calculate the average speed of an object over a certain period of time. By taking the change in distance and dividing it by the change in time the average speed can be calculated.
The graph of distance vs time increases exponentially as speed increases.
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.
The slope of a distance-time graph represents speed.
The speed is the slope of the curve in such a graph.
To get speed from a distance-time graph, you would calculate the slope of the graph at a given point, as the gradient represents speed. To calculate total distance covered, you would find the total area under the graph, as this represents the total distance traveled over time.
A straight line on a distance-time graph represents a constant speed.
Speed (in the radial direction) = slope of the graph.
Slope of the graph will give you speed.