Respuesta :

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