If distance us plotted against x axis and kinetic energy against y axis,then the slope of the graph is proportional - Physics - Laws of Motion and Gravitation

Question

If distance us plotted against x axis and kinetic energy against y
axis,then the slope of the graph is proportional to

Abhay Kumar · Accepted Answer

Dear Student,We know that KE =y = 12mv2, v = velocitywhere x = distanceSo Slope = dydx= 2mv2dvdx    (But v = dx/dt)  dydx= mdxdtdvdx= m dv/dt = maSo slope is directly proportional to acceleration
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If distance us plotted against x axis and kinetic energy against y axis,then the slope of the graph is proportional to