Respuesta :

Answer: [tex]2.5\frac{m}{s^{2}}[/tex]


According to Newton's 2nd Law of Motion (in the specific case when the mass [tex]m[/tex] is constant) the acceleration [tex]a[/tex] that a body acquires is directly proportional to the exerted force [tex]F[/tex] on the body.

As shown in the following equation:


[tex]F=ma[/tex]    (1)


We already know the value of the mass of the car and the force excerted on it. So, we need to find the value of the acceleration from equation (1):


[tex]a=\frac{F}{m}[/tex]     (2)


And substitute the known values:


[tex]a=\frac{3000N}{1200kg}[/tex]    


At this point, note that [tex]1N=1kg\frac{m}{s^{2}}[/tex]


Taking this into account, the acceleration of the car is:


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