| Exam Board | OCR |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2008 |
| Session | January |
| Marks | 12 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Time when specific condition met |
| Difficulty | Standard +0.3 This is a standard M2 projectiles question requiring routine application of SUVAT equations and trajectory formulas. Part (i) uses the maximum height formula, part (ii) solves a quadratic for time intervals, and part (iii) applies Pythagoras to velocity components. All techniques are textbook exercises with no novel problem-solving required, making it slightly easier than average. |
| Spec | 3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model |
7 A missile is projected from a point $O$ on horizontal ground with speed $175 \mathrm {~ms} ^ { - 1 }$ at an angle of elevation $\theta$. The horizontal lower surface of a cloud is 650 m above the ground.\\
(i) Find the value of $\theta$ for which the missile just reaches the cloud.
It is given that $\theta = 55 ^ { \circ }$.\\
(ii) Find the length of time for which the missile is above the lower surface of the cloud.\\
(iii) Find the speed of the missile at the instant it enters the cloud.
\hfill \mbox{\textit{OCR M2 2008 Q7 [12]}}