A marine salvage ROV (Remotely Operated Vehicle) of mass 2.5 kg is operating at depth. Its motion is governed by two horizontal thruster forces $P1\mathbf{P}_1$ and $P2\mathbf{P}_2$ such that:

\mathbf{P}_1 = \begin{pmatrix} 3a \\ -11 \end{pmatrix} \text{ N and } \mathbf{P}_2 = \begin{pmatrix} 5 \\ 2b \end{pmatrix} \text{ N}

where $a\,$ and $b\,$ are constant parameters. The resulting acceleration of the ROV is observed to be $s−2\mathbf{a} = \begin{pmatrix} 2b \\ a - 1 \end{pmatrix} \text{ m s}^{-2}$ .

Determine the value of $a\,$ and the value of $b$ .

A marine salvage ROV (Remotely Operated Vehicle) of mass 2.5 kg is operating at depth. Its motion is governed by two horizontal thruster forces $P1\mathbf{P}_1$ and $P2\mathbf{P}_2$ such that:

\mathbf{P}_1 = \begin{pmatrix} 3a \\ -11 \end{pmatrix} \text{ N and } \mathbf{P}_2 = \begin{pmatrix} 5 \\ 2b \end{pmatrix} \text{ N}

where $a\,$ and $b\,$ are constant parameters. The resulting acceleration of the ROV is observed to be $s−2\mathbf{a} = \begin{pmatrix} 2b \\ a - 1 \end{pmatrix} \text{ m s}^{-2}$ .

Determine the value of $a\,$ and the value of $b$ .

2.2.4 Kinematics

Question 26

Markscheme

2.2.4 Kinematics

Question 26

Markscheme

2.2.4 Kinematics

Question 26

2.2.4 Kinematics Questions

2.2.4 Kinematics

Question 26

2.2.4 Kinematics Questions