Moderate -0.8 This is a straightforward projectile motion problem requiring standard SUVAT equations in two dimensions. Students apply v² = u² + 2as vertically to find the vertical component, then use Pythagoras and trigonometry to find speed and direction. It's routine mechanics with no problem-solving insight required, making it easier than average but not trivial due to the two-dimensional aspect.
A particle is projected horizontally with a speed of \(7 \text{ ms}^{-1}\) from a point 10 m above horizontal ground. The particle moves freely under gravity. Calculate the speed and direction of motion of the particle at the instant it hits the ground. [6]
A particle is projected horizontally with a speed of $7 \text{ ms}^{-1}$ from a point 10 m above horizontal ground. The particle moves freely under gravity. Calculate the speed and direction of motion of the particle at the instant it hits the ground. [6]
\hfill \mbox{\textit{OCR M2 2010 Q1 [6]}}