Discuss whether momentum is conserved in each of the following situations.

You jump up from a trampoline. As you go up, your speed decreases; as you come down again, your speed increases.

A snooker ball strikes a stationary ball. The second ball moves off sideways at $60°$ to the initial path of the first ball.

Use the idea of conservation of momentum to explain why the first ball cannot travel in its initial direction after the collision. Illustrate your answer with a diagram.

Figure 6.17 shows the momentum vectors for particles 1 and 2, before and after a collision. Show that momentum is conserved in this collision. Draw the vector triangle that shows that momentum is conserved in the collision. Show the value of each angle in the triangle.

Figure shows the momentum vectors for two identical particles, $1$ and $2$ before and after a collision. Particle $2$ was at rest before the collision. Show that momentum is conserved in this collision.

A snooker ball collides with a second identical ball as shown in Figure

Determine the components of the velocity of the first ball in the $x \& y$ directions.

A snooker ball collides with a second identical ball as shown in Figure

 Hence, determine the components of the velocity of the second ball in the $x \&\hspace{0.17em}y$ directions.

A snooker ball collides with a second identical ball as shown in Figure

Hence, determine the velocity (magnitude and direction) of the second ball.

A car of mass $1000 \mathrm{kg}$ is travelling at a velocity of $+10 \mathrm{m}{\mathrm{s}}^{-1}$. It accelerates for $15 \mathrm{s}$, reaching a velocity of $+24 \mathrm{m}{\mathrm{s}}^{-1}$. Calculate:

(a) The change in the momentum of the car in the $15 \mathrm{s}$ period