Answer
The sport utility vehicle was traveling at a speed of $14.1m/s$
Work Step by Step
We take the car's direction of motion to be the positive side.
The car, whose mass is $m=1100kg$ and who has initial velocity $\vec{v}=+32m/s$, collides with the sport utility vehicle, whose mass is $M=2500kg$ and who has initial velocity $\vec{V}$, which needs to be found.
After that, 2 cars come to a halt, so the system's total momentum equals $0$.
We assume there are no external forces, so the total linear momentum is conserved. Therefore, $$M\vec{V}+m\vec{v}=\sum \vec{p}_f=0$$ $$\vec{V}=-\frac{m\vec{v}}{M}=-14.1m/s$$
