A ship is moving at a speed of `56 km//h`. One second later , it is moving at `58 km//h`. What is its acceleration?

Explanation

To find the acceleration of the ship, we can follow these steps:

### Step 1: Convert the speeds from km/h to m/s
To convert speeds from kilometers per hour (km/h) to meters per second (m/s), we use the conversion factor:
\[ 1 \text{ km/h} = \frac{1000 \text{ m}}{3600 \text{ s}} = \frac{5}{18} \text{ m/s} \]

- **Initial speed (u)**:
\[ u = 56 \text{ km/h} = 56 \times \frac{5}{18} \text{ m/s} \]
\[ u = \frac{280}{18} \text{ m/s} \approx 15.56 \text{ m/s} \]

- **Final speed (v)**:
\[ v = 58 \text{ km/h} = 58 \times \frac{5}{18} \text{ m/s} \]
\[ v = \frac{290}{18} \text{ m/s} \approx 16.11 \text{ m/s} \]

### Step 2: Calculate the change in velocity
The change in velocity (\( \Delta v \)) is given by:
\[ \Delta v = v - u \]
\[ \Delta v = 16.11 \text{ m/s} - 15.56 \text{ m/s} \]
\[ \Delta v = 0.55 \text{ m/s} \]

### Step 3: Calculate the acceleration
Acceleration (\( a \)) is defined as the change in velocity over time:
\[ a = \frac{\Delta v}{t} \]
Given that the time (\( t \)) is 1 second:
\[ a = \frac{0.55 \text{ m/s}}{1 \text{ s}} \]
\[ a = 0.55 \text{ m/s}^2 \]

### Final Answer
The acceleration of the ship is \( 0.55 \text{ m/s}^2 \).

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