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Distance-time graphs show distance from a fixed point at different times. Distance is on the vertical axis, and time is on the horizontal axis. The gradient of the graph is the speed. A positive gradient represents the object (or person) moving away from the starting point.
A scaled distance–time graph can be used to determine a constant speed. The speed represented by a straight line on a distance–time graph equals the gradient of the graph. The gradient of a distance–time graph is the change in distance divided by the change in time.
How to Find Distance in Speed-Time Graph. The diagram below shows a speed-time graph of a car. A straight line indicates a constant speed for a length of time. In order to calculate distance traveled, you’ll need to consider the horizontal axis and vertical axis as length and breadth.
Draw a formula triangle for speed, distance and time. Working clockwise from the top, enter D for distance, T for time and S for speed. Use the formula triangle to work out the correct...
One way of calculating the speed from a distance-time graph is to think about how far the object has traveled in one time unit. For example, if an object has traveled 20\mathrm {~miles} 20 miles in 30\mathrm {~minutes}, 30 minutes, it would travel 40\mathrm {~miles} 40 miles in one hour, therefore the speed is 40\mathrm {~mph} 40 mph.
Key fact. In a distance-time graph, the slope or. gradient. of the line is equal to the speed of the object. The steeper the line (and the greater the gradient) the faster the object is moving....
To find the speed of an object from a distance-time graph, we need to calculate the gradient (or slope) of the line. First choose two points that lie the line - say point A is (0 , 0) and point B is (10 , 50). These are quite far apart so that will make our gradient calculation more accurate.
