In physics, how is linear momentum defined?

Linear momentum is defined as the product of an object's mass and its velocity. This relationship is crucial in understanding motion, as momentum is a vector quantity, meaning it has both magnitude and direction. The formula for linear momentum is represented by the equation p = mv, where p is momentum, m is mass, and v is velocity.

Using this definition, it is clear that the velocity of an object not only relates to how fast it is moving (speed) but also includes the direction of that movement, which is essential in physical interactions. This makes the definition of momentum more comprehensive and accurate compared to alternatives that might neglect direction or modify the interaction.

The other definitions provided do not accurately reflect the concept of linear momentum in physics, especially as they either omit direction or modify the relationship incorrectly.