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The position of a particle is given by v...

The position of a particle is given by `vecr =3.0t veci+2.0t^(2) hatj+5.0 hatk`
Where is in seconds and the coefficients have the proper unit for r to be in maters . (a) Find v(t) and a(t) of the particle .
(b) Find the magnitude and direction of `v(t) "at" t=1.0s`

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To solve the problem, we need to find the velocity and acceleration of the particle given its position vector. The position vector is given as: \[ \vec{r}(t) = 3.0t \hat{i} + 2.0t^2 \hat{j} + 5.0 \hat{k} \] ### Part (a): Finding \( \vec{v}(t) \) and \( \vec{a}(t) \) ...
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