Question

Table 2 was used to convert the results of the ruler-drop test into reaction times.

Table 2
(d)
23cm
Distance in cm Reaction time in s
2
4
6
8
10
12
14
16
18
20
22
24
26
0.064
0.090
0.111
0.128
0.143
0.156
0.169
0.181
0.192
0.202
0.212
0.221
0.230
Distance in cm Reaction time in s
0.239
0.247
0.256
0.263
0.271
0.278
0.286
0.293
28
30
32
34
36
38
40
42
44
46
48
50
52
0.300
0.306
0.313
0.319
0.326
Estimate the reaction time for a student who recorded a distance of 23 cm
Reaction time =
E
(1)

Answer 1

To estimate the reaction time for a distance of 23 cm, we take the times for 22 cm (0.221 s) and 24 cm (0.230 s) from Table 2 and average them, resulting in a reaction time of approximately 0.226 seconds.

Step-by-step explanation:

To estimate the reaction time for a distance of 23 cm using Table 2, we need to find the values between which 23 cm falls and interpolate accordingly. Looking at the table, we see that 22 cm corresponds to 0.221 seconds and 24 cm corresponds to 0.230 seconds. A linear interpolation would give us:

• Reaction time for 22 cm = 0.221 s
• Reaction time for 24 cm = 0.230 s

Since 23 cm is exactly halfway between 22 cm and 24 cm, we can take the average of the two times:

(0.221 s + 0.230 s) / 2 = 0.2255 s

So the estimated reaction time for a distance of 23 cm is approximately 0.226 seconds.