This is an impulse question where we use the relationship
Average Force x Time of Interaction = Change of Momentum
Since the bowling ball does not change its mass, the change in momentum is the mass x change in velocity.
We know the force and the time so we can write
(200 N) x (0.35 s) = (7.2 kg) x (Change in Velocity)
Change in Velocity is therefore 9.7 m/s.
We don't know if it is faster or slower since it depends upon the direction of the force