Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{11m}{s}\) for 4 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{4m}{s}\), after which it moves uniformly for 5 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the signed velocity change at the collision, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{12m}{s}\) for 5 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{5m}{s}\), after which it moves uniformly for 6 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the signed velocity change at the collision, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{12m}{s}\) for 5 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{5m}{s}\), after which it moves uniformly for 6 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the total displacement over both uniform stages, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{5m}{s}\) for 2 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{6m}{s}\), after which it moves uniformly for 7 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the total displacement over both uniform stages, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{5m}{s}\) for 2 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{6m}{s}\), after which it moves uniformly for 7 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the total distance travelled over both uniform stages, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{6m}{s}\) for 3 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{7m}{s}\), after which it moves uniformly for 3 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the total distance travelled over both uniform stages, in m.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{6m}{s}\) for 3 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{7m}{s}\), after which it moves uniformly for 3 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the average velocity over the full modelled interval, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A particle moves right at \(\displaystyle \frac{7m}{s}\) for 4 s. An idealised instantaneous collision reverses its velocity to \(\displaystyle - \frac{2m}{s}\), after which it moves uniformly for 4 s. The collision has zero duration in this model and position remains continuous. Positive is right.

Find the average velocity over the full modelled interval, in m/s.

Enter one exact number or fraction unless the question specifies rounding. Use the requested units and positive direction; enter the number without its unit. Angles here use degrees. Give full reasoning separately for written problems.