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Question
Data for the motion of an object are given in the following table. State whether the speed of the object is uniform or non-uniform. Find the average speed.
| Time (s) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Distance (m) | 0 | 6 | 10 | 16 | 21 | 29 | 35 | 42 | 45 | 55 | 60 |
🔗 Concepts: 8.4 Uniform and Non-uniform Linear Motion | 8.3 Speed
Motion data over 100 s — uniform or non-uniform? Find average speed.
![Question 10 - Data for the motio - Measurement of Time an - [Teachoo] - Questions at the end of the chapter](https://cdn.teachoo.com/test/dfab520a-50bc-448c-889c-1e43924bd0e2/image-a-data-table-for-0100-s-and-a-curved-graph-line-showing-non-uniform-motion.png)
Show Answer
Non-uniform motion — average speed = 0.6 m/s
Explanation
📋 Given
- Total time = 100 s (measured every 10 s)
- Total distance = 60 m (from data table)
- Distances per 10 s: 6, 4, 6, 5, 8, 6, 7, 3, 10, 5 m
🔄 Unit Conversion
- No conversion needed — time in s, distance in m.
- Answer will be in m/s.
📐 Formula
Average Speed = Total Distance ÷ Total Time
Step 1 — Check if motion is uniform
Distances in 10 s intervals: 6, 4, 6, 5, 8, 6, 7, 3, 10, 5 m.
All different → Non-uniform motion .
Step 2 — Find average speed
$$\text{Average speed} = \frac{60 \text{ m}}{100 \text{ s}} = \boxed{0.6 \text{ m/s}}$$
Non-uniform (unequal distances each 10 s) — average speed = 0.6 m/s.
