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.
Speed.
Stopping distance also increases.
The distance needed to stop also increases.
A straight line on a distance/time graph means that the speed is constant. In every unit of time the distance increases by the same amount.
The distance needed to stop also increases.
It increases faster than the speed increase ... approximately the square of the speed. So twice the speed results in 4 times the stopping distance.
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.
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.
By increasing speed over a fixed period of time, you increase the distance you travel in that period of time. If you drive 20 mph for an hour, you go 20 miles. If you drive 30 mph for that same hour, you go 30 miles. Just like you knew you would.
The distance will increase as the speed (absolute value of velocity) increases.
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.
Speed (in the radial direction) = slope of the graph.