Answer:
a = 0.154 [m/s^2]
Explanation:
To solve this problem we must use the following formula of kinematics.
[tex]v_{f}= v_{i}-(a*t)\\[/tex]
where:
Vf = final velocity = 0
Vi = initial velocity = 100 [km/h]
t = time = 3 [min] = 180 [s]
Now we need to convert the velocity from [km/h] to [m/s]
[tex]100[\frac{km}{h} ]*1000[\frac{m}{1km} ]*1[\frac{h}{3600s} ]=27.77[\frac{m}{s} ][/tex]
0 = 27.77 - (a*180)
a = 0.154 [m/s^2]
Note: the negative sign of the equation shows, that the car slows down until it stops