Respuesta :

Answer:

[tex]a = 0.83\ m/s^2[/tex]

Explanation:

Uniform Acceleration

When an object changes its velocity at the same rate, the acceleration is constant.

The relation between the initial and final speeds is:

[tex]v_f=v_o+a.t[/tex]

Where:

vf  = Final speed

vo = Initial speed

a   = Constant acceleration

t   = Elapsed time

It's known a train moves from rest (vo=0) to a speed of vf=25 m/s in t=30 seconds. It's required to calculate the acceleration.

Solving for a:

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

Substituting:

[tex]\displaystyle a=\frac{25-0}{30}[/tex]

[tex]\boxed{a = 0.83\ m/s^2}[/tex]