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The position of of a particle is given b...

The position of of a particle is given by `vec r =3.0 t hat I + 2.0 t^(2) hat j+ 5.0 hat k` wher (t) in seconds and the coefficients have the proper units . Find the velocity and acceleration of the particle in magnitude and direction at time `t=3.0 s`

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To find the velocity and acceleration of the particle at time \( t = 3.0 \, \text{s} \), we will follow these steps: ### Step 1: Write down the position vector The position of the particle is given by: \[ \vec{r} = 3.0 \, \hat{i} + 2.0 \, t^2 \, \hat{j} + 5.0 \, \hat{k} \] ...
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