Displacement time graph

1
Displacement time graph
Amy leaves her house, walks up the road to her
friend, Saki, then down the road to her other
friend Kam. The graph shows her journey.
Calculate each of the following. (a) Her total
distance travelled. (b) Her final
displacement. (c) Her velocity for each
stage. (d) Her average speed. (e) Her average
velocity.
(a)
30 50 80m
(b)
- 20m
(c)
1.5 ms-1, -2 ms-1
(d)
80 ?45 1.78 ms-1
(e)
-20 ?45 -0.444 ms-1
2
Displacement time graph
The displacement time graph shows the journey
of a woman going to a corner shop and back.
Calculate each of the following. (a) Her total
distance travelled. (b) Her final
displacement. (c) Her velocity for each
stage. (d) Her average speed. (e) Her average
velocity.
(a)
60 60 120m
(b)
0
(c)
2 ms-1, -3 ms-1
(d)
120 ?70 1.71 ms-1
(e)
0 ? 45 0 ms-1
3
A cyclist starts from town A to town B, 60 km
away. In the first hour, she travels 20 km. She
then rests for 15 minutes before completing the
second stage of 20 km at the same speed. She then
has a second 15-minute rest period before
completing her final stage at the same as the
previous two. The second cyclist starts from B to
cycle to A. He leaves at the same time as the
first cyclist leaves A and travel non-stop at 15
kmh-1.
Sketch Displacement time graph representing
both journeys and estimate at what time and where
do the two cyclists pass each other?
Time 1hour 51mins
Distance 32.1 km from A