Question

if a vehicles velocity changes from \\(20\text{ m/s}\\) to \\(10\text{ m/s}\\) in \\(5\text{ s}\\), what is the acceleration?

choose an answer

• \\(-2\text{ m/s}^2\\)
• \\(2\text{ m/s}^2\\)
• \\(-6\text{ m/s}^2\\)
• \\(6\text{ m/s}^2\\)

Explanation:

Step1: Identify given values

$$v_i = 20\text{ m/s}, \quad v_f = 10\text{ m/s}, \quad t = 5\text{ s}$$

Step2: Apply acceleration formula

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

Step3: Calculate final acceleration

$$a = \frac{10 - 20}{5} = -2\text{ m/s}^2$$

Answer:

\(-2\text{ m/s}^2\)