Answer all the questions in the spaces provided. (a) A property of a vector quantity, that is not a property of a scalar quantity, is direction. For example, velocity has direction but speed does not.

1. (a)(i)State two other scalar quantities and two other vector quantities. scalar quantities: ..................................................................... and ..................................................................... vector quantities: ..................................................................... and .....................................................................[2]
2. (a)(ii)State two properties that are possessed by both scalar and vector physical quantities. 1. 2.[2]
3. (b)A ship at sea is travelling with a velocity of 13ms⁻¹ in a direction 35° east of north in still water, as shown in Fig. 1.1. [Figure 1.1]
4. (b)(i)Determine the magnitudes of the components of the velocity of the ship in the north and the east directions. north component of velocity = ............................................................ ms⁻¹ east component of velocity = ............................................................ ms⁻¹[2]
5. (b)(ii)The ship now experiences a tidal current. The water in the sea moves with a velocity of 2.7 ms⁻¹ to the west. Calculate the resultant velocity component of the ship in the east direction. resultant east component of velocity = ............................................................ ms⁻¹[1]
6. (b)(iii)Use your answers in (b)(i) and (b)(ii) to determine the magnitude of the resultant velocity of the ship. magnitude of resultant velocity = ............................................................ ms⁻¹[2]
7. (b)(iv)Use your answers in (b)(i) and (b)(ii) to determine the angle between north and the resultant velocity of the ship. angle = ............................................................ .°[2]

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