Respuesta :

Answer:

The average acceleration is [tex]4\ m/s^2[/tex]

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.  If only the magnitudes are considered, then the equation that describes the change of speeds is:

[tex]v_f=v_o+at[/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The velocity (magnitude or speed) of a car increases from v0=2 m/s to vf=16 m/s in t=3.5 s. We can calculate the acceleration by solving for a:

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

[tex]\displaystyle a=\frac{16-2}{3.5}[/tex]

[tex]\displaystyle a=\frac{14}{3.5}[/tex]

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

The average acceleration is [tex]4\ m/s^2[/tex]