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]