OCR M2 2007 June — Question 2 4 marks

Exam BoardOCR
ModuleM2 (Mechanics 2)
Year2007
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicProjectiles
TypeBasic trajectory calculations
DifficultyModerate -0.8 This is a straightforward application of the standard range formula R = (u²sin2α)/g with all values given directly. It requires only substitution into a memorized formula and basic calculator work, making it easier than average but not trivial since it involves projectile motion concepts.
Spec3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model
2 Calculate the range on a horizontal plane of a small stone projected from a point on the plane with speed \(12 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) at an angle of elevation of \(27 ^ { \circ }\).
Question 2:
AnswerMarks Guidance
Answer/WorkingMark Guidance
\(0 = 12\sin27°t - 4.9t^2\) any correctM1 or \(R = \frac{u^2\sin2\theta}{g}\) (B2)
\(t = 1.11\) …method for total timeA1 correct formula only
\(R = 12\cos27° \times t\)M1 \(12^2 \times \sin54° / 9.8\) sub in values
\(11.9\)A1 4 \(11.9\) 
## Question 2:

| Answer/Working | Mark | Guidance |
|---|---|---|
| $0 = 12\sin27°t - 4.9t^2$ any correct | M1 | **or** $R = \frac{u^2\sin2\theta}{g}$ (B2) |
| $t = 1.11$ …method for total time | A1 | correct formula only |
| $R = 12\cos27° \times t$ | M1 | $12^2 \times \sin54° / 9.8$ sub in values |
| $11.9$ | A1 **4** | $11.9$ |

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2 Calculate the range on a horizontal plane of a small stone projected from a point on the plane with speed $12 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ at an angle of elevation of $27 ^ { \circ }$.

\hfill \mbox{\textit{OCR M2 2007 Q2 [4]}}
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