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# Worksheet: Finding Momentum 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 meters and in seconds. Determine the bodyβs momentum after 2 seconds.

• A
• B
• C
• D

Q2:

A body with variable mass moves in a straight line. At time seconds, its mass is given by , and its displacement from a fixed point on the line is given by . Calculate the change in the bodyβs momentum between and .

• A 686 kgβm/s
• B 49 kgβm/s
• C 196 kgβm/s
• D 273 kgβm/s

Q3:

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 meters and in seconds. Determine the bodyβs momentum after 3 seconds.

• A
• B
• C
• D

Q4:

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 bodyβs momentum and the force that is acting on it .

• A ,
• B ,
• C ,
• D ,

Q5:

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

• A 1β480 g
• B 3β700 g
• C 185 g
• D 7β400 g