The truck B has the greater change of momentum because it has the greater speed.
Momentum is the product of mass and velocity it means it depends on both mass and velocity of an object. Momentum is directly proportional to mass and velocity if mass or velocity or both increases momentum is also increases and vice versa.
Both trucks have same mass but moving with different velocity then the higher velocity object has higher momentum which is truck B so we can conclude that truck B has the greater change of momentum because it has the greater speed.
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Options are the following:
The truck B has the greater change of momentum because it has the greater speed.
The truck A has the greater change of momentum because it has the greater mass.
They both have the same change in magnitude of momentum because momentum is conserved.
Neither the truck A nor the truck B changes its momentum in the collision because momentum is conserved.
None of the above is necessarily true.