GRAPHS, FUR1 2004 VCAA 4-5 MC

The graph shows a distance-time graph for a car travelling from home along a long straight road over a `16`-hour period.

Part 1

In which one of the time intervals is the speed of the car greatest?

A. 0 to 5 hours

B. 5 to 9 hours

C. 9 to 12 hours

D. 12 to 14 hours

E. 14 to 16 hours

Part 2

After twelve hours the car has travelled a total distance of

A. 100 km

B. 350 km

C. 450 km

D. 600 km

E. 700 km

Show Answers Only

`text(Part 1:)\ C`

`text(Part 2:)\ D`

Show Worked Solution

`text(Part 1)`

`text(From the graph, speed is seen by slope)`

`text(of line.)`

`text(In)\ 1^text(st)\ text(part of line,)`

`text(gradient)`	`= 350/5`
	`= 70\ text(km/hr)`

`text(In)\ 2^text(nd)\ text(and)\ 4^text(th)\ text(part of line)`

`text(gradient = 0 km/hr)`

`text(In)\ 3^text(rd)\ text(part of line,)`

`text(In)\ 4^text(th)\ text(part of line,)`

`:.\ `	`3^text(rd)\ text(part of line, which is)`
	`text(9 to 12 hours has greatest speed.)`

`=> C`

`text(Part 2)`

`text(From the graph,)`

`=> D`