a$)$ b$)$ c$)$ d$)$ Distinguish between a vector and a scalar, giving an example of a quantity

described by a vector and one described by a scalar. $(2$ marks$)$

A hammer falls from a shelf and strikes the ground at $12$ ms$-1.$ From what height

did it fall? $(2$ marks$)$

A barge $($mass $6000$ kg$)$ is pulled by a team of horses at a constant velocity of

$4\mathrm{.}1$ ms$-1,$ due east. Calculate the momentum of the barge and the net force acting

on the barge. $(3$ marks$)$

To deliver machinery to the required field a farmer leaves the main yard and

drives $20\mathrm{.}0$ km in a direction $30\mathrm{.}0$ northeasterly. She then drives $10\mathrm{.}0$ km in a

southerly direction. What is her final displacement from the main yard?

$(3$ marks