OCR MEI M1 2006 January — Question 6 7 marks

Exam BoardOCR MEI
ModuleM1 (Mechanics 1)
Year2006
SessionJanuary
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicConstant acceleration (SUVAT)
TypeSUVAT simultaneous equations: find u and a
DifficultyModerate -0.3 This is a straightforward SUVAT problem requiring students to form two simultaneous equations from given information and solve them, then apply a standard kinematic formula. While it involves algebraic manipulation with two unknowns, the setup is direct with no conceptual tricks, making it slightly easier than average for A-level mechanics.
Spec3.02d Constant acceleration: SUVAT formulae

6 A car is driven with constant acceleration, \(a \mathrm {~m} \mathrm {~s} ^ { - 2 }\), along a straight road. Its speed when it passes a road sign is \(u \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The car travels 14 m in the 2 seconds after passing the sign; 5 seconds after passing the sign it has a speed of \(19 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
  1. Write down two equations connecting \(a\) and \(u\). Hence find the values of \(a\) and \(u\).
  2. What distance does the car travel in the 5 seconds after passing the road sign? Section B (36 marks)

6 A car is driven with constant acceleration, $a \mathrm {~m} \mathrm {~s} ^ { - 2 }$, along a straight road. Its speed when it passes a road sign is $u \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The car travels 14 m in the 2 seconds after passing the sign; 5 seconds after passing the sign it has a speed of $19 \mathrm {~m} \mathrm {~s} ^ { - 1 }$.\\
(i) Write down two equations connecting $a$ and $u$. Hence find the values of $a$ and $u$.\\
(ii) What distance does the car travel in the 5 seconds after passing the road sign?

Section B (36 marks)\\

\hfill \mbox{\textit{OCR MEI M1 2006 Q6 [7]}}