| Exam Board | CAIE |
|---|---|
| Module | M2 (Mechanics 2) |
| Year | 2014 |
| Session | June |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Projectiles |
| Type | Speed at specific time or position |
| Difficulty | Standard +0.8 This projectile question requires energy methods or component analysis to find height from speed (non-standard), then solving for two time instances when speed equals 18 m/s. Part (ii) demands finding the time interval and corresponding horizontal distance, requiring careful manipulation of projectile equations beyond routine trajectory problems. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.02i Projectile motion: constant acceleration model |
4 A particle $P$ is projected with speed $20 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ at an angle of $40 ^ { \circ }$ above the horizontal from a point $O$ on horizontal ground.\\
(i) Find the height of $P$ above the ground when $P$ has speed $18 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.\\
(ii) Calculate the length of time for which the speed of $P$ is less than $18 \mathrm {~m} \mathrm {~s} ^ { - 1 }$, and find the horizontal distance travelled by $P$ during this time.
\hfill \mbox{\textit{CAIE M2 2014 Q4}}