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Question
p1-1 good do now: 1. fill in the following table for a person walking at 1m/s: speed: 1m/s time (s) distance (m) 0s 0m 1s 2s 3s 2. fill in the following table for a person walking at 2m/s: speed: 2m/s time (s) distance (m) 0s 0m 1s 2s 3s 4s 5s
Part 1: Person walking at 1 m/s
The formula to calculate distance is \( \text{Distance} = \text{Speed} \times \text{Time} \). Here, speed is 1 m/s.
Step 1: Time = 1s
Using the formula \( \text{Distance} = 1 \, \text{m/s} \times 1 \, \text{s} \)
\( \text{Distance} = 1 \, \text{m} \)
Step 2: Time = 2s
Using the formula \( \text{Distance} = 1 \, \text{m/s} \times 2 \, \text{s} \)
\( \text{Distance} = 2 \, \text{m} \)
Step 3: Time = 3s
Using the formula \( \text{Distance} = 1 \, \text{m/s} \times 3 \, \text{s} \)
\( \text{Distance} = 3 \, \text{m} \)
(We can continue for more rows, but for the given times 1s, 2s, 3s, the distances are 1m, 2m, 3m respectively. If we take 4s and 5s as additional rows:
Step 4: Time = 4s
\( \text{Distance} = 1 \times 4 = 4 \, \text{m} \)
Step 5: Time = 5s
\( \text{Distance} = 1 \times 5 = 5 \, \text{m} \)
)
Part 2: Person walking at 2 m/s
The formula to calculate distance is \( \text{Distance} = \text{Speed} \times \text{Time} \). Here, speed is 2 m/s.
Step 1: Time = 1s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 1 \, \text{s} \)
\( \text{Distance} = 2 \, \text{m} \)
Step 2: Time = 2s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 2 \, \text{s} \)
\( \text{Distance} = 4 \, \text{m} \)
Step 3: Time = 3s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 3 \, \text{s} \)
\( \text{Distance} = 6 \, \text{m} \)
Step 4: Time = 4s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 4 \, \text{s} \)
\( \text{Distance} = 8 \, \text{m} \)
Step 5: Time = 5s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 5 \, \text{s} \)
\( \text{Distance} = 10 \, \text{m} \)
Filled Tables:
Table for 1 m/s:
| Time (s) | Distance (m) |
|---|---|
| 1s | 1m |
| 2s | 2m |
| 3s | 3m |
| 4s | 4m |
| 5s | 5m |
Table for 2 m/s:
| Time (s) | Distance (m) |
|---|---|
| 1s | 2m |
| 2s | 4m |
| 3s | 6m |
| 4s | 8m |
| 5s | 10m |
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The formula to calculate distance is \( \text{Distance} = \text{Speed} \times \text{Time} \). Here, speed is 2 m/s.
Step 1: Time = 1s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 1 \, \text{s} \)
\( \text{Distance} = 2 \, \text{m} \)
Step 2: Time = 2s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 2 \, \text{s} \)
\( \text{Distance} = 4 \, \text{m} \)
Step 3: Time = 3s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 3 \, \text{s} \)
\( \text{Distance} = 6 \, \text{m} \)
Step 4: Time = 4s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 4 \, \text{s} \)
\( \text{Distance} = 8 \, \text{m} \)
Step 5: Time = 5s
Using the formula \( \text{Distance} = 2 \, \text{m/s} \times 5 \, \text{s} \)
\( \text{Distance} = 10 \, \text{m} \)
Filled Tables:
Table for 1 m/s:
| Time (s) | Distance (m) |
|---|---|
| 1s | 1m |
| 2s | 2m |
| 3s | 3m |
| 4s | 4m |
| 5s | 5m |
Table for 2 m/s:
| Time (s) | Distance (m) |
|---|---|
| 1s | 2m |
| 2s | 4m |
| 3s | 6m |
| 4s | 8m |
| 5s | 10m |