GRAPH OF LINEAR MOTION

BYARIES TRIWIDAJATI S. SPD

GRAPH OF LINEAR MOTION (GRAFIK GERAK LURUS BERATURAN)

LINEAR MOTION is a straight motion at a constant velocity

Example : Mr. Deni is travelling from terminus A to terminus B in a bus and records his observation.

Distance (m)

0 10 20 30 40 50 60 70

Time (second)

0 1 2 3 4 5 6 7

Observations

GRAPH OF LINEAR MOTION

time (second) 0 1 2 3 4 5 6 7

distance (m) 0 10 20 30 40 50 60 70

0 1 2 3 4 5 6 70

10

20

30

40

50

60

70distance-time graph

time (second)

distance (m)

velocity

time (second) 0 1 2 3 4 5 6 7

velocity (m/s) 0 2 2 2 2 2 2 2

Time (second)

velocity

EXAMPLE OF LINIER GRAPH WITH CONSTANT VELOCITY

0 1 2 3 4 5 6 7 80

0.5

1

1.5

2

2.5

velocity (m/s)Velocity (m/s)

time (second) 0 1 2 3 4 5 6

distance (m) 0 10 40 90 160 250 360

GRAPH OF ACCELERATED UNIFORM LINEAR MOTION (GRAFIK GERAK LURUS BERUBAH BERATURAN DIPERCEPAT)

time (second) 0 1 2 3 4 5 6 velocity (m/s) 0 10 20 30 40 50 60

Based on the data shown in the table, we can determine the car’s velocity per second :

A racer reached 10 meters within 1 second, 30 meters within 2 second, and so on

0 1 2 3 4 5 6 70

10

20

30

40

50

60

70

Velocity (m/s)

time (second)

Acceleration Graph

The above graph shows us that there is a constant acceleration of 10 m/s2

and that we can say Accelerated Uniform Linear Motion graph

GRAPH OF DECCELERATED UNIFORM LINEAR MOTION (GRAFIK GERAK LURUS BERUBAH BERATURAN DIPERLAMBAT)

time (second) 0 2 4 6 8 10 velocity (m/s) 25 20 15 10 5 0

Based on the data shown in the table, we can determine the car’s deceleration :

0 2 4 6 8 10 120

5

10

15

20

25

30

velocity (m/s2)Linear (velocity (m/s2))

Velocity (m/s)

time (second)

Deceleration Graph

GRAPH OF NON - UNIFORM LINEAR MOTION (GRAFIK GERAK LURUS TIDAK BERATURAN)

Based on the data shown in the table, we can determine that the car’s motion is non Uniform

time (second) 0 10 20 30 40 50 60 distance (m) 0 5 15 20 25 35 50

0 10 20 30 40 50 60 700

10

20

30

40

50

60

distance (m)Linear (distance (m))

Exercise

1.A boy rides a bicycle that records the distance travelled in meters. On a short ride, he records the distance every 10 seconds & obtains the following readings.

time /s 0 10 20 30 40 50 60 70 80 90 100

distance /m 0 20 40 60 80 140 200 260 280 280 280

a. Plot a distance time graph of his ride.b. What was his speed during the first 40s?c. What was his speed between 40s & 70s?d. What happened after 80s?

1. A girl runs with constant speed of 15 m/s around a running track. How long will it take her to run 3 km?

2. A train travels from London to New York in 4 hours. If the distance is 600 km, find the average speed of the train in: km/hour and m/s

3. If a cyclist starts from rest and accelerates to 10 m/s in 5 seconds, what is her acceleration?

4. A car travelling eastwards at 60 m/s. Suddenly comes to a halt in 10 second. Find its average acceleration

5. An athlete sprinter ran a distance 240 meters in 0,5 minutes. What was his average speed?

Home Work