How to find maximum force on a velocity vs time graph

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To find the maximum force on a velocity versus time graph, one must identify the point where the acceleration is greatest, which corresponds to the maximum slope of the velocity graph. This maximum acceleration occurs at the point of inflection, where the concavity changes, specifically at t=0.35s in this case. Since force is calculated using the formula f = ma, knowing the mass allows for the calculation of force once the maximum acceleration is determined. The slope of the graph can be estimated visually, particularly in regions where the curve appears linear. Thus, the maximum force can be derived from the product of mass and the maximum acceleration identified on the graph.
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Homework type question moved from technical forum, hence template not shown.
The velocity versus time graph is the following:

http://imgur.com/kyebx8H

As the title asks, how would you find the maximum force on a velocity vs time graph given nothing but the graph and the mass of the object in question. My reasoning was that since f = ma and m is never changing, that the time at which the maximum force would be applied when dv/dt is greatest. However, since a function is not provided, one would find this point (in this case, the point of inflection) by finding where the concavity of the function shifts from concave down to concave up, indicating a local maximum (maximum acceleration and therefore maximum force) which is at t=0.35s. I'm stuck on how you would find the maximum force from this and would appreciate any help.
 
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AnonymousAnonymous said:
... f = ma ...dv/dt...I'm stuck on how you would find the maximum force from this ...
You have all you need in your post.
 
AnonymousAnonymous said:
The velocity versus time graph is the following:

http://imgur.com/kyebx8H

As the title asks, how would you find the maximum force on a velocity vs time graph given nothing but the graph and the mass of the object in question. My reasoning was that since f = ma and m is never changing, that the time at which the maximum force would be applied when dv/dt is greatest. However, since a function is not provided, one would find this point (in this case, the point of inflection) by finding where the concavity of the function shifts from concave down to concave up, indicating a local maximum (maximum acceleration and therefore maximum force) which is at t=0.35s. I'm stuck on how you would find the maximum force from this and would appreciate any help.

You should be able to estimate the slope at that point from the graph. It even looks like the curve between v= +0.1 to -0.1 m/s is almost a straight line. So you can easily find the slope.

Zz.
 

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