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AS Motion 3.1.2(a)(i)
~5 min Difficulty: 3/10 6 marks
Prior knowledge Velocity, acceleration and displacementConstant-acceleration equationsSigned quantities
Problem structure
(a) Time to rest: 2 marks (b) Signed displacement: 3 marks (c) Soft-landing judgement: 1 mark

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During the final braking stage of a lunar landing, a lander is $48.0\,\mathrm{m}$ above the Moon's surface and moving vertically downwards at $12.0\,\mathrm{m\,s^{-1}}$. Its engines produce a constant resultant acceleration of $1.50\,\mathrm{m\,s^{-2}}$ upwards. Take upwards as the positive direction.
(a) 2 marks
Calculate the time taken for the lander to come to rest.
(b) 3 marks
Calculate the lander's displacement during this time.
(c) 1 mark
State, with a reason, whether this motion produces a soft landing at the lunar surface.
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