Particle moving along path, change of angle of inclination

[Unicow]

Homework Statement

Homework Equations

Equation given in question.

The Attempt at a Solution

The only thing I could think of was to try changing the y=3x^3 into polar coordinates but I didn't know where to go from there... Could I get some direction to how I should go about this, I'm sort of stumped as to how I should start this.

 

[Ray Vickson]

Homework Statement

View attachment 207313

Homework Equations

Equation given in question.

The Attempt at a Solution

The only thing I could think of was to try changing the y=3x^3 into polar coordinates but I didn't know where to go from there... Could I get some direction to how I should go about this, I'm sort of stumped as to how I should start this.

Your "question" is unreadable. You should take the trouble to actually type it out here; many helpers would not look at posted images, even if they were readable.

 

[haruspex]

how I should go about this,

You are given a hint to use curvature. Have you been taught any equations relating to that? See "curvature of a graph" at https://en.m.wikipedia.org/wiki/Curvature.
Or, from first principles, you know ##\theta=\arctan (dy/dx)##. You could find how fast that changes as x changes and divide by how fast distance along the curve changes as x changes.

 

[Mark44]

Your "question" is unreadable.

I agree.