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## Homework Statement

A skier travels with a constant speed of 6 m/s along a parabolic path y= x

^{2}/20. Find the acceleration of the skier when he is at (10,5). Neglect the size of skier.

## Homework Equations

dy/dx is slope of parabola.

In a straight line if body has distance covered=x, then velocity (v) = dx/dt and acceleration = dv/dt

Radial acceleration is v

^{2}/R where R is radius.

## The Attempt at a Solution

Slope is 2x/20= x/10.

For straight line determining acceleration is easy but how about this curve case?