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zoexoe
The answer is -4 m/s². A car traveling at an initial velocity of 36 meter per second starts to decelerate and then suddenly the car comes to a complete stop which means the final velocity is zero. The acceleration can be calculated as
     acceleration = (final velocity - initial velocity) / time interval
                          = (0 m/s - 36 m/s) / 9s
                          = -4 m/s²
carlosego
The equation of movement of the car is given by:
 [tex] vf = a * t + vo [/tex]
 Where,
 vf: final speed
 a: acceleration
 t: time
 vo: initial speed
 By the time the car stops we have:
 [tex] vf = 0 [/tex]
 Substituting values we have:
 [tex] 0 = a * 9 + 36 [/tex]
 Clearing the acceleration we have:
 [tex] a = -36/9 a = -4 m / s ^ 2[/tex]
 Answer:
 its acceleration is:
 [tex] a = -4 m / s ^ 2[/tex]

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