9. A group of students investigated the motion of a puck on an air table. The puck was tethered t the table using a spring and projected across the surface so that it orbited the tether point. The resulting motion was observed to be elliptical. аши Tether point

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9. A group of students investigated the motion of a puck on an air table. The puck was tethered to
the table using a spring and projected across the surface so that it orbited the tether point.
The resulting motion was observed to be elliptical.
puck
t = 0.00s
spring
Average length
of spring for
time interval
Tether point
The students filmed the motion of the puck and used time-lapse software to map the position of
the puck at 0.10 second time intervals.
t = 0.10s
Air table
Distance travelled in
time interval
Elliptical path of puck
t = 0.20s
Etc.
t = 0.30s
From their map, the students were able to measure the distance travelled by the puck each time
interval and compare it to the average length of the spring during the time interval.
Transcribed Image Text:9. A group of students investigated the motion of a puck on an air table. The puck was tethered to the table using a spring and projected across the surface so that it orbited the tether point. The resulting motion was observed to be elliptical. puck t = 0.00s spring Average length of spring for time interval Tether point The students filmed the motion of the puck and used time-lapse software to map the position of the puck at 0.10 second time intervals. t = 0.10s Air table Distance travelled in time interval Elliptical path of puck t = 0.20s Etc. t = 0.30s From their map, the students were able to measure the distance travelled by the puck each time interval and compare it to the average length of the spring during the time interval.
The graph below shows the data collected by the students.
Distance travelled (cm)
d.
120
100
80
60
40
20
0
0
Distance travelled vs. average spring length during set time
intervals of 0.10 seconds.
20
40
60
O
80
100
120
Average spring length (cm)
O
140
●
160
a. Draw a line or curve of best fit (trendline) on the graph above.
b. Comment on the precision of the data, using evidence from the graph.
180
1.
c. Use your trendline to estimate the distance that would be travelled by the puck in the sa
time interval if the average spring length was 60cm. Clearly label the point you used to
determine your answer on the graph.
Hence calculate the average speed of the puck over this time interval.
200
Transcribed Image Text:The graph below shows the data collected by the students. Distance travelled (cm) d. 120 100 80 60 40 20 0 0 Distance travelled vs. average spring length during set time intervals of 0.10 seconds. 20 40 60 O 80 100 120 Average spring length (cm) O 140 ● 160 a. Draw a line or curve of best fit (trendline) on the graph above. b. Comment on the precision of the data, using evidence from the graph. 180 1. c. Use your trendline to estimate the distance that would be travelled by the puck in the sa time interval if the average spring length was 60cm. Clearly label the point you used to determine your answer on the graph. Hence calculate the average speed of the puck over this time interval. 200
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