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 $b$ .

1.10.8 Vectors in kinematics

Question 26

Markscheme

1.10.8 Vectors in kinematics

Question 26

Markscheme

1.10.8 Vectors in kinematics

Question 26

1.10.8 Vectors in kinematics Questions

1.10.8 Vectors in kinematics

Question 26

1.10.8 Vectors in kinematics Questions