take the slope of every change in the velocity time graph and plot it
Position-Time GraphYou can graph motion on a position vs time graph. On a position vs time graph, position is on the y-axis and time is on the x-axis. If the velocity is constant, the graph will be a straight line and the slope is average velocity. If the motion is accelerating, the graph will be a curved line.Velocity-Time GraphYou can also graph motion on a Velocity-Time graph. On a velocity vs time graph, velocity is on the y-axis, time is on the x-axis. If the graph is a straight line, velocity is constant and the slope is average acceleration. Also, on a velocity vs time graph, the area under the line is displacement.Refer to the related link for illustrations of the different graphs of motion and their meanings.
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.
To calculate distance from a velocity time graph, find the area under the velocity-time curve. If the graph is above the time axis, sum the areas of each individual shape formed between the curve and the time axis. If the graph is below the time axis, subtract the areas of the shapes below the time axis from the areas above the time axis.
You can find the final position by using the acceleration and time. If you know the initial velocity and acceleration, you can calculate the final position using the kinematic equation ( x = x_0 + v_0t + \frac{1}{2}at^2 ), where ( x_0 ) is the initial position, ( v_0 ) is the initial velocity, ( a ) is the acceleration, ( t ) is the time, and ( x ) is the final position.
hi I'm Robert the answer to this question is that when scientists collect data they are often trying to find out whether certain factors changed or rein the same. Often, the simplest way to do that is to record the data in a table and then make a graph. Although you may be able to detect a pattern of change from a data table. One way to record data from an experiment is by using a data table. Then, the data may be plotted on a graph to make it easier to interpret.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
To create a force-time graph from an acceleration-time graph, you would first integrate the acceleration values to obtain the velocity-time graph, and then integrate the velocity values to get the displacement-time graph. Finally, you can use Newton's second law (F = m*a) to relate the acceleration to the force and derive the force-time graph.
Position-Time GraphYou can graph motion on a position vs time graph. On a position vs time graph, position is on the y-axis and time is on the x-axis. If the velocity is constant, the graph will be a straight line and the slope is average velocity. If the motion is accelerating, the graph will be a curved line.Velocity-Time GraphYou can also graph motion on a Velocity-Time graph. On a velocity vs time graph, velocity is on the y-axis, time is on the x-axis. If the graph is a straight line, velocity is constant and the slope is average acceleration. Also, on a velocity vs time graph, the area under the line is displacement.Refer to the related link for illustrations of the different graphs of motion and their meanings.
It is radial the velocity in a direction towards or away from a fixed point of reference (the origin) at a given time. The velocity time graph takes no account of motion in a direction across the radial direction.
One word answer: integrate. The area under the acceleration curve, up to time T, is the speed at time T. If you now make a curve of the speed as a function of time, and find the area under that up to time T, that will be the position at time T.
When acceleration is constant, one equation of kinematics is: (final velocity)^2 = 2(acceleration)(displacement) + (initial velocity)^2. When you are graphing this equation with displacement or position of the x-axis and (final velocity)^2 on the y-axis, the equation becomes: y = 2(acceleration)x + (initial velocity)^2. Since acceleration is constant, and there is only one initial velocity (so initial velocity is also constant), the equation becomes: y = constant*x + constant. This looks strangely like the equation of a line: y = mx + b. Therefore, the slope of a velocity squared - distance graph is constant, or there is a straight line. Now, when you graph a velocity - distance graph, the y axis is only velocity, not velocity squared. So if: v^2 = mx + b. Then: v = sqrt(mx + b). Or: y = sqrt(mx + b). This equation is not a straight line. For example, pretend m = 1 and b = 0. So the equation simplifies to: y = sqrt(x). Now, make a table of values and graph: x | y 1 | 1 4 | 2 9 | 3 etc. When you plot these points, the result is clearly NOT a straight line. Hope this helps!
what incrament would ba a apppropriate to make a graph of the data
To make acceleration equal zero. The velocity must be constant. For example, if velocity is constant at 10 m/s^2 its acceleration is zero. The same is true if velocity is 0 m/s^2.
To convert acceleration to velocity, you must integrate.Similarly, to convert velocity to distance, you must integrate a second time. This is why the distance covered by a projectile is a second order quadratic equation.
Because its really fun :)
No but you do need a dataset or data range with which to to populate the graph.
Yes because you need the data on the right and across the bottom to make the graph