Question

the slope of kinetic energy versus velocity graph is directly proportional to​

Answer 1

Explanation:

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Answer 2

The slope of kinetic energy versus velocity graph is directly proportional to​ the acceleration of the particle.

Kinetic energy of a particle in motion, $E =\frac{1}{2} mv^{2}$

Differentiating w.r.t. x, we get.

$=\frac{1}{2} m \times 2 v \frac{d v}{d x} \\&=m v \times \frac{d v}{d t} \times \frac{d t}{d x} \\&=m v \times \frac{a}{v}=m a\end{aligned}$

Hence, The slope of the kinetic energy displacement curve is proportional to the particle's acceleration.

Learn more about kinetic energy here,

https://brainly.in/question/1797886?msp_poc_exp=4

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