A man runs `100.5 m` in `10.3 sec`. Find his average speed up to appropriate significant figures.

Explanation

To find the average speed of a man running a distance of 100.5 meters in 10.3 seconds, we can follow these steps:

### Step 1: Understand the formula for average speed
The average speed (V) is defined as the total distance (d) traveled divided by the total time (t) taken. The formula is:
\[ V = \frac{d}{t} \]

### Step 2: Identify the values given in the problem
From the question, we have:
- Distance (d) = 100.5 meters
- Time (t) = 10.3 seconds

### Step 3: Substitute the values into the formula
Now, we can substitute the values into the formula:
\[ V = \frac{100.5 \, \text{m}}{10.3 \, \text{s}} \]

### Step 4: Perform the calculation
Calculating the average speed:
\[ V = \frac{100.5}{10.3} \approx 9.75 \, \text{m/s} \]

### Step 5: Determine the appropriate significant figures
Next, we need to consider the significant figures. The distance (100.5 m) has 4 significant figures, and the time (10.3 s) has 3 significant figures. The result should be reported with the least number of significant figures, which is 3 in this case.

### Step 6: Round the result to the appropriate significant figures
The calculated average speed is approximately 9.75 m/s. Since we need to round to 3 significant figures, we keep it as:
\[ V \approx 9.76 \, \text{m/s} \]

### Final Answer
Thus, the average speed of the man is:
\[ V = 9.76 \, \text{m/s} \]

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