Question

Momentum is a measure of quantity of motion
(A) True
(B) False

Answer 1

Hint : Momentum can be defined as the product of mass and velocity. Motion is the change in position in time.

Formula used: In this solution we will be using the following formula;
$p = mv$ where $p$ is the momentum of a body, $m$ is the mass of the object and $v$ is the velocity of the body.

Complete step by step answer
When an object is said to be moving, it means it is changing its position in time. Hence, since a moving object changes position in time, it must have velocity which can be defined as the rate of change of position with time in a specified direction.
Momentum can be defined simply as the product of mass and velocity which in mathematical terms is given as
$p = mv$ where $p$ is the momentum of a body, $m$ is the mass the object and $v$ is the velocity of the body.
Mass in itself can be defined as the quantity of matter in a body.
Now, velocity defines motion of a point (or any arbitrary body) and mass is the quantity of matter of a body. Then momentum can be said to be the quantity which defines the motion of that matter. Hence, momentum can be regarded as a measure of quantity of motion
The correct option is A.

Note
An alternate reasoning could be as follows; from Newton’s first law, a body in uniform motion tends to remain in uniform motion, unless a net force is acted on it. We know that the higher the mass, the more the object in motion will resist stopping, and also, the higher the velocity the more force is required to stop the body. Hence the product of that mass and velocity is a measure of the motion of the body.