91Ó°ÊÓ

The given data can be listed below as:

• The mass of the particle is m .
• The speed of the particle is v .
• The position of the particle is x .

Potential energy is described as the energy acquired by an object while the object is at rest. The potential energy is also useful for generating heat while an object is at rest.

The graph has been drawn below:

Here, the position starts from $x_a$and ends at$x_b$ in between the point is$x_1$ . The velocity increases at the midpoint, and then after that, it becomes the same at the endpoint as it was at the start.

thus

As the potential energy U is at its lowest value at the point$U=E_0$ where$E_0$ is the energy at the start. Hence, the kinetic energy K becomes the energy at that point$E_1$ . According to the graph, the velocity v is maximum at$x_1$ .

Thus, the speed is greatest at$x=x_1$ .

The graph has been drawn below:

Here, the position starts from $x_c$and ends at $x_d$in between the points arelocalid="1663748198807" $x_a,x_1,x_b,x_2$and$x_3$. The velocity increases at the midpoint twice, and then after that, it becomes the same at the endpoint as it was at the start.

Thus, .