ing t = 4.9 s to 2 significant figures earns the A1 mark."}]}],"generatedAt":"2026-07-20T16:27:37.934Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]},{"id":"ea575583-982d-462d-8a3a-67ccbe6ad6a0","label":"b","content":"Find the speed at which the stone hits the ground.","markscheme":"- Use $v^2 = u^2 + 2as$: $v^2 = 2(-9.8)(-120) = 2352$ M1\n- $v = \\sqrt{2352} = 48.49...$ M1\n- Speed = $48 \\text{ ms}^{-1}$ (2sf) A1","marks":3,"order":1,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Uses $v^2 = u^2 + 2as$ or $v = u + at$.","code":"M"},{"id":"p2","marks":1,"description":"Calculates $v^2$ or $v$.","code":"M"},{"id":"p3","marks":1,"description":"Obtains $48$ (2sf).","code":"A"}],"finalAnswers":["48"],"generatedAt":"2026-05-12T02:14:06.558Z","modelVersion":"gemini-3-flash-preview"},"explanation":{"methods":[{"id":"suvat","label":"Use a SUVAT equation","steps":[{"type":"text","order":0,"title":"Choose signs and the equation","content":"Take upwards as positive. Because the stone is **dropped**, its initial velocity is $u=0$. Gravity and the displacement to the ground are both downwards, so $a=-9.8\\,\\text{m s}^{-2}$ and $s=-120\\,\\text{m}$. Since time is not needed, choose\n\n$$v^2=u^2+2as.$$","highlights":[{"text":"dropped","location":"specification"},{"text":"120 m from the ground.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=formula}{v^2=u^2+2as}$"},{"latex":"$$\\htmlData{anchor=substitution}{v^2=0^2+2(-9.8)(-120)}$"},{"latex":"$$\\htmlData{anchor=result}{v^2=\\color{@amber}{2352}}$"}],"highlights":[{"color":"amber","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"substitution","from":"formula","color":"sky","label":"substitute"},{"to":"result","from":"substitution","color":"amber","label":"simplify"}]},"order":1,"title":"Substitute the values","description":"Substitute the known values into the chosen SUVAT equation. Writing this substitution earns the first method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"$$\\htmlData{anchor=squared}{v^2=2352}$"},{"latex":"$$\\htmlData{anchor=root}{\\text{speed}=\\sqrt{2352}}$"},{"latex":"$$\\htmlData{anchor=decimal}{\\text{speed}=48.497\\ldots\\ \\mathrm{m\\,s^{-1}}}$"},{"latex":"$$\\htmlData{anchor=rounded}{\\text{speed}=48\\ \\mathrm{m\\,s^{-1}}\\ \\text{(2 s.f.)}}$"}],"highlights":[{"color":"sky","style":"text-color","anchor":"root"},{"color":"green","style":"text-color-with-background","anchor":"rounded"}],"connections":[{"to":"root","from":"squared","color":"sky","label":"positive square root"},{"to":"rounded","from":"decimal","color":"green","label":"round"}]},"order":2,"title":"Calculate the speed","description":"Because speed is a positive magnitude, take the positive square root. This earns the second method mark; rounding the result correctly earns the accuracy mark."}]}],"generatedAt":"2026-07-20T16:41:51.961Z","modelVersion":"gpt-5.6-sol","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":53}},{"id":"ce04a15e-f96e-4e93-b1b2-f72a317b707d","revisionId":"bcec3a39-a6c4-4f72-ab8a-c15c8049afe3","questionNumber":"5","questionType":"LA","specification":"A particle moves along a straight line, from point X to point Y, with constant acceleration. The distance XY is 120 m. The particle takes 8 seconds to move from X to Y and the speed of the particle at Y is double the speed of the particle at X.","difficulty":2,"difficultyBand":"medium","totalMarks":6,"sourceTitle":"Question Set 1: Constant Acceleration","calculatorUse":null,"parts":[{"id":"2ee316c4-8750-43b2-8968-30995fe935ff","label":"a","content":"Find the speed of the particle at X.","markscheme":"- Let speed at X be $x$, speed at Y be $2x$. Use $s = \\left(\\frac{u+v}{2}\\right)t$ M1\n- $120 = \\left(\\frac{x+2x}{2}\\right) 8 \\implies 120 = 12x$ M1\n- $x = 10 \\text{ ms}^{-1}$ A1","marks":3,"order":0,"markingRubric":{"totalMarks

Constant Acceleration

Question 5

Constant Acceleration Questions

Constant Acceleration

Question 5

Constant Acceleration Questions