One way to find the mass of an object is to measure its acceleration when a force acts on it. If a force of $80\mathrm{N}$ causes a box accelerate at $0.10\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s^2$}\right.$, what is the mass of the box$?$

A force of $20\mathrm{N}$ acts on a rocket for $350s,$ causing the rocket's velocity to increase. Calculate the impulse of the force.

A force of $20\mathrm{N}$ acts on a rocket for $350s,$ causing the rocket's velocity to increase.

By how much does the rocket's momentum increase$?$

An aircraft can fly at a top speed of $600\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$h$}\right.$.

What will its speed be if it flies into a head-wind of $100\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$h$}\right.?$ $($ A head-wind blows in the opposite direction to the aircraft.$)$

An aircraft can fly at a top speed of $600\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$h$}\right.$.

The pilot directs the aircraft to fly due north at $600\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$h$}\right.$. A side-wind blows at $100\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$h$}\right.$ towards the east. What will be the aircraft's resultant velocity$?$ $($Give both its speed and its direction.$)$