Mathematics M1,M2,M3 WME01: Kinematics of a Particle Moving in a Straight Line or Plane Topical Past Paper Questions

At time $t=0$, a stone $S$ is projected from a point $A$ on the top of a cliff. The point A is 120 m above horizontal ground. The stone $S$ is projected with speed $25 \, \text{m} \, \text{s}^{-1}$ at an angle of $60^{\circ}$ above the horizontal. The stone S is modelled as a par…

A small stone is projected from a point O on horizontal ground. The stone is projected with speed $ 20 \, m \, s^{-1} $ at an angle $ \alpha $ to the ground. When the stone is 11 m above the ground - the vertical velocity component of the stone has magnitude $ V_{m}s^{-1} $ - the…

[In this question, the unit vectors $ \mathbf{i} $ and $ \mathbf{j} $ are in a vertical plane, $ \mathbf{i} $ being horizontal and $ \mathbf{j} $ being vertically upwards.] Figure 3 A golf ball is hit from a point O on horizontal ground and is modelled as a particle moving freely…