Question

the velocity of a body of mass 2 kg as a function of t is given by v(t)=2ti+t^2j find the momentum and force acting on the body at time t =2 sec

Answer 1

$v = 2t \: i \: + {t}^{2} j \\ \frac{dv}{dt} = a = 2i + 2tj \\ p = mv \\p = 2(2t \: i \: + {t}^{2} j) \\ f = m \times a \\ = 2(2i + 2t \: j)$
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