Final answer:
The direction of the velocities is essential when calculating impulsive forces because both momentum and impulse are vector quantities that depend on direction.
Step-by-step explanation:
When calculating impulsive forces, the direction of the velocities is crucial. An impulse is defined as the change in momentum of an object when a force is applied over a period of time, and momentum is a vector quantity, which means it has both magnitude and direction. The formula for impulse (I) can be represented as I = Δp where Δp is the change in momentum. The momentum (p) itself is the product of the mass (m) and velocity (v) of the object, equally vector quantities: p = mv. During a collision, for instance, the direction of the velocities before and after impact will determine the direction of the impulsive force, as well as the final direction of the object's momentum.