The slope of kinetic energy displacement curve of a particle in motion is

Options

A. Equal to the acceleration of the particle
B. Inversely proportional to the acceleration
C. Directly proportional to the acceleration
D. None of the above

Answer

C

Explanation

` E = (1)/(2) mv^(2) . ` Differentiating w.r.t. x , we get
` (dE)/( dx) = (1)/(2) m xx 2v (dv)/(dx) = mv xx (dv)/(dt) xx(dt)/(dx) = mv xx (a)/(v) = ma `