Car Collision Impulse Problem

1. The problem statement, all variables and given/known data

A 1343 kg car experiences an impulse of 30,000 N during a collision with a wall. If the collision takes 0.43 s, what was the velocity of the car just before the collision?

A) 22 m/s
B) 9 m/s
C) 51 m/s
D) 18 m/s

2. Relevant equations

F=dp/dt
p=mv

3. The attempt at a solution

I first tried to work backwards by doing 30,000 x .43 = dp which comes out to be 12900. Since I’m assuming the final momentum is 0, I plugged 12900 into p=mv along with 1343 and got v=9.6. I don’t think 9 m/s is the answer, I’m pretty sure it’s either A or D but I can’t seem to come out with answer close to either. Any help is appreciated.

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