A car slows to a stop with an average acceleration of – 2.5 m/s2. How long will it take to slow the car from 12 m/s to a position of rest?

Respuesta :

Given:

The acceleration of the car is

[tex]a=-2.5\text{ m/s}^2[/tex]

The initial velocity is

[tex]v_i=\text{ 12 m/s}[/tex]

The final velocity is

[tex]v_f=\text{ 0 m/s}[/tex]

Required: The time taken by the car to reach the position of rest.

Explanation:

The time can be calculated by the formula

[tex]t=\frac{v_f-v_i}{a}[/tex]

On substituting the values, the time will be

[tex]\begin{gathered} t=\frac{0-12}{-2.5} \\ =4.8\text{ s} \end{gathered}[/tex]

Final Answer: The time taken by the car is 4.8 s.