Final answer:
The equation for momentum is p = mv, and if an object's velocity is doubled (assuming mass remains constant), its momentum will also double.
Step-by-step explanation:
The equation for momentum (p) is the product of an object's mass (m) and its velocity (v), which can be written as p = mv. This relation indicates that momentum is directly proportional to both mass and velocity, making it a vector quantity that has the same direction as the velocity. If an object's velocity increases to twice its original velocity, and the mass remains constant, the momentum would also double, assuming no other forces are acting on the object. For example, if an object's initial momentum is p with an initial velocity v, and its velocity becomes 2v, the new momentum p' would be p' = m(2v) = 2(mv) = 2p, demonstrating that the new momentum is twice the original momentum.