A particle of specific charge alpha enters a uniform magnetic field `B=-B_0hatk` with velocity `v=v_0hati` from the origin. Find the time dependence of velocity and position of the particle.
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Velocity of the particle at ay time `t` is `v(t)=v_xhati+v_yhatj=v_0costhetahati+v_0sinthetahatj` or `v(t)=v_0cos(b_0alphat)hati+v_0sin(B_0alphat)hatj` Position of particle at `t` is `r(t)=xhati+yhatj=rsinthetahati+(r-rcostheta)hatj` substituting the values of `r` and `theta` we have `r(t)=v_0/(B_0alpha) [sin(B_0alphat)hati+(1-cos(B_(0))alphat))hatj]`
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