A proton of charge +e and mass m enters a uniform magnetic Field `vecB=hatB` with an intial velocity `vecv=v_(0x)hati=v_(0y)hatj`. Find an expression in unit-vector notation for its velocity at any later time l.

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Correct Answer - `vecv(t)=v_(0x)hati+v_(0y)(sin omegat)hatk`

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