Further Mathematics 9231: Projectile motion Topical Past Paper Questions

The points $A$ and $B$ lie on the line of greatest slope of a smooth inclined plane, with $A$ above $B$. The plane is inclined to the horizontal at an acute angle $\alpha$. At time $t=0$, a particle $P$ is projected from $A$ with speed $u$ at an angle $2\alpha$ to the plane and m…

A particle $P$ is projected with speed $u \mathrm{m s}^{-1}$ at an angle $\theta$, where $\tan\theta = 2$, above the horizontal from a point $O$ on a horizontal plane and moves freely under gravity. The horizontal and vertical displacements of $P$ from $O$ at a time $t_{s}$ are d…

A particle P is projected from a point O on horizontal ground with speed u at an angle $ \theta $ above the horizontal, where $ \tan\theta=\frac{1}{3} $. The particle P moves freely under gravity and passes through the point with coordinates $ (3a,\frac{4}{5}a) $ relative to hori…