State two further scalar quantities and two further vector quantities. scalar quantities: ........................................ and ........................................ vector quantities: ........................................ and ........................................
State two features that are common to both scalar and vector physical quantities. 1. ........................................................ 2. ........................................................
A ship at sea is moving with a velocity of $13\,\text{m s}^{-1}$ at an angle of $35^{\circ}$ east of north in still water, as shown in Fig. 1.1. Find the magnitudes of the ship’s velocity components in the north and east directions. northward component of velocity = ........................................ $\text{m s}^{-1}$ eastward component of velocity = ........................................ $\text{m s}^{-1}$
The ship now moves through a tidal current. The sea water has a velocity of $2.7\,\text{m s}^{-1}$ to the west. Calculate the resultant velocity component of the ship in the east direction.
Use your answers in (b)(i) and (b)(ii) to find the magnitude of the resultant velocity of the ship.
Use your answers in (b)(i) and (b)(ii) to find the angle between north and the ship’s resultant velocity.