# Worksheet: Finding Momentum Using Differentiation or Integration

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 integration or differentiation.

**Q1: **

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.

**Q3: **

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

- A kgβ m/s
- B 1β320 kgβ m/s
- C 660 kgβ m/s
- D kgβ m/s

**Q4: **

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 .

**Q5: **

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 .

**Q6: **

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 .

**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.