A car moving on a straight road accelerates from a speed of 4.1 m/s to a speed of 6.9 m/s in 5.0 s. What was its average acceleration?

Options

A. 0.56 `"m/s"^2`
B. 1.56 `"m/s"^2`
C. 5.6 `"m/s"^2`
D. 1.2 `"m/s"^2`

Answer

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

### Step 1: Identify the given values
- Initial velocity (u) = 4.1 m/s
- Final velocity (v) = 6.9 m/s
- Time (t) = 5.0 s

### Step 2: Calculate the change in velocity
The change in velocity (Δv) can be calculated using the formula:
\[ \Delta v = v - u \]
Substituting the values:
\[ \Delta v = 6.9 \, \text{m/s} - 4.1 \, \text{m/s} = 2.8 \, \text{m/s} \]

### Step 3: Calculate the average acceleration
The average acceleration (a) can be calculated using the formula:
\[ a = \frac{\Delta v}{t} \]
Substituting the values:
\[ a = \frac{2.8 \, \text{m/s}}{5.0 \, \text{s}} = 0.56 \, \text{m/s}^2 \]

### Final Answer
The average acceleration of the car is \(0.56 \, \text{m/s}^2\).

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