The problem describes a car accelerating uniformly from rest ($v_i = 0$) to a final velocity ($v_f = 10 \, \text{m/s}$) in $t = 2 \, \text{seconds}$. The acceleration can be calculated using the formula for uniform acceleration:

$a = \frac{v_f - v_i}{t}$

Substitute the given values:

$a = \frac{10 \, \text{m/s} - 0 \, \text{m/s}}{2 \, \text{s}} = \frac{10}{2} = 5 \, \text{m/s}^2$

The acceleration of the car is $5 \, \text{m/s}^2$, so the selected answer is correct.

Would you like further clarification or additional examples?

5 Related Questions

1. What is the difference between uniform acceleration and non-uniform acceleration?
2. How would the acceleration change if the time taken to reach 10 m/s were doubled?
3. How do you calculate the distance traveled during uniform acceleration?
4. What are some real-world scenarios where this formula is applied?
5. How does acceleration relate to force in Newton's second law of motion?

Tip: Always identify given values first and confirm the type of motion (uniform or variable) before choosing a formula.