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## Homework Statement

At time t = 0 a particle of charge 'q' and mass 'm' is at a position x = 0 and has a velocity v = 0. The particle is subject to a force F = k x^(1/2) , where 'k' is a constant. Show that at time 't' the particle radiates according to:

-dW/dt = q²k⁴t⁴ / (864)(π)(ε_0 )(c³)(m⁴)

## The Attempt at a Solution

I first said F= ma = k x^1/2

--> a = k x^(1/2) / m

---> a² = k² x / m²

Then I substitute this into the larmor formula, but obviously this is wrong. I'm not sure where I went wrong though.

Thanks.