Consider the flow field with the velocity given by \(\vec{V}=3 \hat{i}+5 t \hat{j}+\) \(8 t^{2} \hat{k}\), where the velocity is in \(\mathrm{m} / \mathrm{s}\) and \(t\) is in seconds. The fluid density is \(800 \mathrm{~kg} / \mathrm{m}^{3}\) and gravity acts in the negative \(z\) direction. Determine the velocity, acceleration, and pressure gradient of the fluid at one second time increments from time \(=0,1\) to time \(=5\) seconds.