# Worksheet: Finding Momentum Using Vectors

In this worksheet, we will practice calculating the momentum of a particle of mass m moving in a straight line with velocity v by using vectors.

Q1:

A body of mass 7 kg is moving in a straight line. Its position vector at a time is given by the relation , where is measured in metres and in seconds. Determine the body’s momentum after 2 seconds.

• A
• B
• C
• D

Q2:

A body of variable mass is moving along a fixed straight line. Its mass at time is given by the relation and its displacement is given by the relation , where is a unit vector parallel to the direction of its motion. Determine the body’s momentum and the force that is acting on it .

• A ,
• B ,
• C ,
• D ,

Q3:

Determine the mass of a body whose momentum is 37 kg⋅m/s, given that its displacement vector is given by the relation , where is measured in metres and in seconds.

Q4:

A body of mass 3 kg is moving in a straight line. Its position vector at a time is given by the relation , where is measured in metres and in seconds. Determine the body’s momentum after 3 seconds.

• A
• B
• C
• D

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