Questions from SolvingPhysics #1

Level pending

SolvingPhysics

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

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


The answer is 12.4.

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