To simplify, let's take miles as the distance factor and times as at the top of the clock. In this case, you are plotting 1 mile on the y axis and 1:00 on the x axis (1,1,) ,(2,2) and (3,3) etc.
The speed is obviously one mile per hour in this case.(1oclock,1)(2oclock,2)..
Your final line on this graph will look like a 45 degree angle line, however you want your speed to increase.
Since your speed is steadily increasing, you would plot (1oclock,1mile), (1:15,2mile), (1:25,3mile), (1:30,4mile) and the line would look steeper and closer to the y axis.
Makes more sense to me to plot distance on the x axis and time on the y axis...but...
If a graph shows distance on the vertical axis and time on the horizontal axis, and the speed is steadily increasing, the line representing speed will be a straight line.
Well, no. If the graph is a straight diagonal line, then the DISTANCE is steadily increasing, not the speed. This would translate into a constant speed. If the speed is steadily increasing, the object would travel more distance per unit time as we move along the horizontal axis. Meaning, the graph would curve upward.
-- constant acceleration -- speed increasing at a steady rate -- distance increasing as the square of the time since everything started
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.
If a graph shows distance on the vertical axis and time on the horizontal axis, and the speed is steadily increasing, the line representing speed will be a straight line.
Well, no. If the graph is a straight diagonal line, then the DISTANCE is steadily increasing, not the speed. This would translate into a constant speed. If the speed is steadily increasing, the object would travel more distance per unit time as we move along the horizontal axis. Meaning, the graph would curve upward.
Not curved.
The graph of the speed will be an upward curving line increasing in curvature toward the vertical.Speed is the slope of the distance/time graph. If the speed is steadily increasing, then the slope of the line is steadily increasing. Assuming that time increases from left to right on the graph, the line curves up as it proceeds from left to right.The line representing speed would look like an increasing function, whose slope will be the acceleration.A parabola of form y=ax^2+bx+c, the a,b,c values depending on the rate of increase and initial value.
-- If the graph displays speed against time, then speed of zero is indicated wherever the graph-line touches the x-axis. -- If the graph displays distance against time, then speed of zero is indicated wherever the graph-line is horizontal. -- If the graph displays acceleration (magnitude) against time, then the graph can tell you when speed is increasing or decreasing, but it doesn't show what the actual speed is.
Distance you read off directly from the graph. Speed is the rate of increase of distance, so it is the slope (gradient) of the graph.
-- constant acceleration -- speed increasing at a steady rate -- distance increasing as the square of the time since everything started
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
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
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.