Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 4\ m/s^2}}[/tex]

Explanation:

Acceleration is the rate of change of an object with respect to time. It is the change in velocity over the time.

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

The car starts at 10 meters per second and increases to 20 meters per second in 2.5 seconds.

  • [tex]v_f[/tex]= 20 m/s
  • [tex]v_i[/tex]= 10 m/s
  • t= 2.5 s

Substitute the values into the formula.

[tex]a= \frac{ 20 \ m/s - 10 \ m/s}{2.5 \ s }[/tex]

Solve the numerator.

[tex]a= \frac{10 \ m/s}{2.5 \ s}[/tex]

Divide.

[tex]a= 4 \ m/s/s[/tex]

[tex]a= 4\ m/s^2[/tex]

The acceleration of the car is 4 meters per second squared.