# Questions from SolvingPhysics #1

Determine the absolute value of the velocity of a particle at time **t=2s** if the particle moves according to the law \(\displaystyle r=\alpha { t }^{ 2 }\hat { i } +\beta (\sin { \pi t } )\hat { j } \), with \(\displaystyle \alpha =2{ m }/{ { s }^{ 2 } }\) and \(\displaystyle \beta =3m\).

[Answer in S.I units and using correct methods of approximation]