distance vs time suggests velocity while distance vs time squared suggests acceleration
distance vs time suggests velocity while distance vs time squared suggests acceleration
The graph of distance vs. time suggests constant velocity if it is a straight line, while a curve on the graph implies changing velocity. The graph of distance vs. time squared suggests acceleration, as a linear relationship implies constant acceleration.
distance vs time suggests velocity while distance vs time squared suggests acceleration
vt-v2
The answer depends on what information is graphed. There are distance-time graphs, velocity-time graphs, speed-time graphs, acceleration-time graphs.
Two different distance-time graphs have matching velocity-time graphs when the slope of the distance-time graph represents the velocity in the velocity-time graph, as velocity is the derivative of distance with respect to time. This means that the steeper the distance-time graph, the greater the velocity on the velocity-time graph at that point.
they will show the variation between distance & time
Distance-time graphs show how distance changes over time, where the slope represents speed; steeper slopes indicate faster motion. Speed-time graphs display how speed changes over time, with the slope representing acceleration; a steep slope indicates rapid changes in speed. Both graphs provide a visual representation of an object's motion, helping to analyze its speed, acceleration, and distance traveled.
Distance and time
To calculate the gradient of the line on a graph, you need to divide the changein the vertical axis by the change in the horizontal axis.
it is very simple........... velocity or speed = distance / time. acceleration = velocity / time but, we know that velocity = distance / time so just substitute the equation of velocity in acceleration...... so, finally we get , acceleration = distance/time*time so it is time squared.
You could try a speed-time graph, or a distance-time graph.