If a sports car at rest accelerates uniformly to a speed of 144 km `h^(-1)` in 5 s, it covers a distance of________ m.

Options

A. 100
B. 140
C. 60
D. 80

Explanation

To solve the problem of how far a sports car accelerates uniformly to a speed of 144 km/h in 5 seconds, we can follow these steps:

### Step 1: Convert the speed from km/h to m/s
The speed given is 144 km/h. To convert this to meters per second (m/s), we use the conversion factor:
\[ 1 \text{ km/h} = \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{1}{3.6} \text{ m/s} \]
Thus, we can convert 144 km/h to m/s:
\[ \text{Speed in m/s} = 144 \times \frac{1}{3.6} = 40 \text{ m/s} \]

### Step 2: Use the formula for distance covered under uniform acceleration
When an object accelerates uniformly from rest, the distance covered can be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Here, the speed is 40 m/s and the time is 5 seconds.

### Step 3: Calculate the distance
Now we can substitute the values into the formula:
\[ \text{Distance} = 40 \text{ m/s} \times 5 \text{ s} = 200 \text{ m} \]

### Final Answer
The sports car covers a distance of **200 meters**.

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