OCR M1 2013 June — Question 2 8 marks

Exam BoardOCR
ModuleM1 (Mechanics 1)
Year2013
SessionJune
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeVertical motion under gravity
DifficultyModerate -0.8 This is a straightforward three-part SUVAT question requiring only direct application of standard kinematic equations with no problem-solving insight. Part (i) uses v=u+at with v=0 at maximum height, part (ii) uses s=ut+½at² or v²=u²+2as, and part (iii) applies the same equations for the descent. All steps are routine textbook exercises that any competent M1 student would recognize immediately.
Spec3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form

2 A particle \(P\) is projected vertically upwards and reaches its greatest height 0.5 s after the instant of projection. Calculate
  1. the speed of projection of \(P\),
  2. the greatest height of \(P\) above the point of projection. It is given that the point of projection is 0.539 m above the ground.
  3. Find the speed of \(P\) immediately before it strikes the ground.

Question 2:
AnswerMarks Guidance
Answer/WorkingMark Guidance
(i) \(u = 4.905\) Accept 4.9(0) or 4.91
(ii) \(s = 1.226...\) Accept 1.23 but not 1.2
(iii) \(v = 5.8851...\) Accept 5.89 but not 5.9
*(Notes apply when using \(g = 9.81\))*
## Question 2:

| Answer/Working | Mark | Guidance |
|---|---|---|
| (i) $u = 4.905$ | | Accept 4.9(0) or 4.91 |
| (ii) $s = 1.226...$ | | Accept 1.23 but not 1.2 |
| (iii) $v = 5.8851...$ | | Accept 5.89 but not 5.9 |

*(Notes apply when using $g = 9.81$)*

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2 A particle $P$ is projected vertically upwards and reaches its greatest height 0.5 s after the instant of projection. Calculate\\
(i) the speed of projection of $P$,\\
(ii) the greatest height of $P$ above the point of projection.

It is given that the point of projection is 0.539 m above the ground.\\
(iii) Find the speed of $P$ immediately before it strikes the ground.

\hfill \mbox{\textit{OCR M1 2013 Q2 [8]}}