The answer will depend on what variables are graphed!
no, work done is the area under a force-distance graph
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
You can calculate speed by taking the gradient (dy/dx) from a Distance-time graph since s=d/t
speed is the gradient under the distance vs time graph which is change in distance /change in time
Calculate the gradient of the curve which will give the acceleration. Change the sign of the answer to convert acceleration into retardation.
It is the force constant of the material in N/m. So you can substitute it into the equation F=kx (F=force, k=force constant or gradient in N/m, x = extension) You would expect the extension to be on the y-axis normally since it is the measured value. However since you want to use the graph to calculate certain values it is on the x-axis (you can also find the work done by the force by finding the area under the graph) Also it allows you to divide the y-axis values by the cross-sectional area and x-axis values by original length to get a stress vs strain graph where you can use the gradient to find the Young modulus of the material.
Force
no, work done is the area under a force-distance graph
Draw a tangent to the curve at the point where you need the gradient and find the gradient of the line by using gradient = up divided by across
Y divided by X axix- Y/X
The Hooke's Law graph shows that the relationship between force and extension in a spring is linear. This means that as the force applied to the spring increases, the extension of the spring also increases proportionally.
You can calculate speed by taking the gradient (dy/dx) from a Distance-time graph since s=d/t
Using limits and the basic gradient formula: rise/run.
speed is the gradient under the distance vs time graph which is change in distance /change in time
To get speed from a distance-time graph, you would calculate the slope of the graph at a given point, as the gradient represents speed. To calculate total distance covered, you would find the total area under the graph, as this represents the total distance traveled over time.
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
The answer depends on what the graph is of!