Trajectory in an arbitrary electrostatic field

A charged particle of mass m and charge q moves in an electrostatic field created by an unknown system of static charges. The particle starts from point A with initial velocity is v1=1m/sv_{1}=1 m/s and follows certain trajectory. What should be the velocity (magnitude) v2v_{2} in m/s of a particle of mass M=10mM=10 m and charge Q=7qQ=7 q at point A in order to follow the same trajectory?

Hint: Compute ddsvv,\frac{d}{ds} \frac{\vec{v}}{v}, where s is the arc length along the trajectory:

s=0tv(t)dts=\int_0^t v(t') dt'.

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