# Worksheet: Finding Momentum Using Differentiation or Integration

Q1:

A body of mass 5 kg moves along a straight line. At time seconds, its acceleration is given by . Find the change in its momentum in the time interval .

Q2:

A body of mass 8 kg moves along a straight line. At time seconds, its acceleration is given by . Find the change in its momentum in the time interval .

Q3:

A body of mass 8 kg moves along a straight line. At time seconds, its acceleration is given by . Find the change in its momentum in the time interval .

Q4:

A car of mass 1β350 kg moves in a straight line such that at time seconds, its displacement from a fixed point on the line is given by . Find the magnitude of the carβs momentum at .

Q5:

A body of mass is moving in a straight line. At time seconds, where , the bodyβs displacement relative to a fixed point is given by , where and are perpendicular unit vectors. Given that the bodyβs kinetic energy is 660 joules, determine the magnitude of its momentum.

• A kg.m/s
• B
1β320
kg.m/s
• C 660 kg.m/s
• D kg.m/s

Q6:

A body of mass 5 kg moves in a straight line such that at time seconds, its displacement from a fixed point on the line is given by Calculate the magnitude of the change in its momentum in the first 2 seconds.

Q7:

A body of mass 4 kg moves in a straight line such that at time seconds, its displacement from a fixed point on the line is given by Calculate the magnitude of the change in its momentum in the first 2 seconds.