This problem can be solved by using the equation of motion v2 = u2 +2fs, where u is the initial velocity, v is the final velocity, s is the distance traveled and f is the acceleration.

 

In the given problem the u, the initial velocity is 89km/h  = 89(5/18) m/s.  Final velocity is =0 as the car comes to rest after the collision. Distance traveled is  s= 0.94 m.

 

Accordingly 0= 198025/324 +2f(.94).

 

Solving for f, we will have f= - 198025/324(1.88)

 

                                              = -325.1 m/s2

                                                                      ***