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## Homework Statement

Given y[tex]^{2}[/tex] = 8x[tex]^{3}[/tex] + 8x

where x and y are in metres, and y is positive

What is the normal component of the acceleration

When x = 4m, x = 7m/s, x = 2m/s[tex]^{2}[/tex]

Note : Wasn't sure if it was Calc or Physics, but I was leaning toward Calc, as it is basically Algebra to solve for the answer.

## Homework Equations

Not sure

## The Attempt at a Solution

I understand that "x = 4m, x = 7m/s, x = 2m/s[tex]^{2}[/tex]" is just "y[tex]^{2}[/tex] = 8x[tex]^{3}[/tex] + 8x" getting differentiated for each part, first of which doesn't need it.

y[tex]^{2}[/tex] = 8x[tex]^{3}[/tex] + 8x

**=>**y = ([tex]\sqrt{8x^3 + 8x}[/tex])

I am just a little lost at "What is the normal component of the acceleration"

Any and all help is greatly appreciated.

Thanks