A spaceship travels at 1,260 km/h. How many metres does it travel in `1/(10)` th of a second?

Options

A. 126
B. 35
C. 36
D. 125

Answer

To solve the problem of how many meters a spaceship traveling at 1,260 km/h covers in \( \frac{1}{10} \) of a second, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
To convert kilometers per hour (km/h) to meters per second (m/s), we can use the conversion factor:
\[ 1 \text{ km/h} = \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{1}{3.6} \text{ m/s} \]
Thus, we can convert the speed:
\[ \text{Speed in m/s} = 1260 \text{ km/h} \times \frac{1}{3.6} \]

### Step 2: Calculate the speed in m/s
Now we perform the calculation:
\[ \text{Speed in m/s} = 1260 \div 3.6 = 350 \text{ m/s} \]

### Step 3: Calculate the distance traveled in \( \frac{1}{10} \) of a second
To find the distance traveled in \( \frac{1}{10} \) of a second, we use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting the values we have:
\[ \text{Distance} = 350 \text{ m/s} \times \frac{1}{10} \text{ s} \]

### Step 4: Perform the calculation for distance
Now we calculate the distance:
\[ \text{Distance} = 350 \times 0.1 = 35 \text{ meters} \]

### Final Answer
Thus, the spaceship travels **35 meters** in \( \frac{1}{10} \) of a second.

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