Question

the vt of an object is given by vector v = 6t^3 i + t^2 m/ s ..find its acceleration at t = 2s

Answer 1

$v = 6 {t}^{3} i + {t}^{2} j\\ a = \frac{dv}{dt} = 18 {t}^{2} i+ 2tj \\ accelaration \: at \: t = 2 \\ a = 18 \times 4i + 4j \\ a = 72 i+ 4 j \: m \: {s}^{ - 2}$

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