Uploaded by chongsoo lee

6 - Distance Time Graphs & Rate of Change 2019

advertisement
Distance-Time Graphs Recap
Walk quickly away from
the motion detector
Distance
Walk slowly away from
the motion detector
Distance
Distance
Stop
Time
Time
Time
Walk quickly towards
the motion detector
Distance
Distance
Walk slowly towards
the motion detector
Time
Distance
Describe what is happening in each section of the following graph:
Time
Time
Calculating Speed
Speed = _________________ = ______
1.
For the following graph, calculate the rate of change of each section.
10
Distance (m)
8
6
C
4
D
B
A
2
0
0
2
4
6
8
10
12
14
Time (s)
Section
Speed
Work
A
B
C
D
2.
Describe the movements in the following graph. Make specific reference to distance, time, speed,
and direction.
10
Distance (m)
8
A
C
6
B
4
D
2
0
0
2
4
6
8
10
12
14
Tim e (s)
Section
A
B
C
D
Description
Calculations
3.
The following graph describes Marissa’s drive to work.
20
18
Distance from Home (km)
16
14
12
10
8
6
4
2
0
0
5
10
15
20
25
Time (min)
a)
Determine the total amount of time that
she spent stopped during her trip.
b)
What percent of her total time did she
spend stopped?
c)
After 10 minutes, how far is she from
her house?
d)
At what time is she 7 km from her
house?
e)
Determine her maximum speed during
the trip.
f)
Determine her minimum speed during
the trip.
Distance Time Graph Practice
1.
Describe the movements in the following graph using rate of change. Make specific reference to
distance, time, speed, and direction.
100
90
80
Distance (km)
70
D
60
50
40
C
B
30
20
A
10
0
0
5
10
15
20
25
Time (h)
Section
A
B
C
D
Description
Calculations
2.
The following graph describes Chris’s rock climbing trip.
20
18
Height above the ground (m)
16
14
12
10
8
6
4
2
0
0
5
10
15
20
Tim e (m in)
a)
How much time in total does he spend
stopped?
b)
Give one reason why he might have
stopped.
c)
What percent of the total time does he
spend climbing up?
d)
At what time(s) was he 18 m above the
ground?
e)
Calculate his slowest climbing speed.
f)
Calculate the speed at which he fell
down.
3.
The following graph shows Anna’s freefall while skydiving. Describe her
skydiving trip. Make specific reference to distance, time, speed, and direction.
12
Height above the ground (km)
10
8
6
4
2
0
0
5
10
15
20
25
30
35
40
45
50
55
60
Tim e (sec)
Section
Description
Calculations
A
B
C
ANSWERS
1] A: Moved 20 km forward in 5 hours at a speed of 4 km/h, B: Moved 10 km forward in 5 hours at a speed of 2 km/h, C: Stopped for
10 hours, D: Moved 70 km forward in 5 hours at a speed of 14 km/h
2a] 7 min
2b] He stopped to rest
2c] 60%
2d] 15 min and 17.1 min
2e] 0.5 m/min
2f] –10 m/min
3] A: She is waiting on the plane for 10 sec at a height of 10 km, B: She falls 9 km downwards in 15 seconds at a speed of –0.6 km/s, c:
She opens her parachute and falls 1 km downward in 35 seconds at a speed of 0.03 km/s
Download