by 8","description":"Divide both sides by 8. The answer a = 1.25 m s^-2 earns A1."}]}],"generatedAt":"2026-07-21T04:02:51.239Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]}],"options":[],"explanation":null,"firstAttemptFullMarks":{"percent":69},"walkthroughVideo":null},{"id":"2c1c9d62-2352-465b-88f7-11375bb3c452","revisionId":"fda37399-523e-4258-8541-93a94bed0a6f","questionNumber":"6","questionType":"LA","specification":"A car passes point A with a speed of $5\\text{ms}^{-1}$. The car accelerates at a constant rate and 8 seconds later it passes point B with a speed of $20\\text{ms}^{-1}$.","difficulty":2,"difficultyBand":"medium","totalMarks":10,"sourceTitle":"Question Set 1: Constant Acceleration","calculatorUse":null,"isCalculation":true,"parts":[{"id":"3629b97a-b042-40ae-b226-c05e82bea221","label":"a","content":"Find the acceleration of the car.","markscheme":"- Use $v = u + at$: $20 = 5 + 8a$ M1\n- $15 = 8a$ M1\n- $a = 1.875 \\text{ ms}^{-2}$ A1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Uses $v = u + at$ correctly.","code":"M"},{"id":"p2","marks":1,"description":"Rearranges to solve for $a$.","code":"M"},{"id":"p3","marks":1,"description":"Obtains $1.875$.","code":"A"}],"finalAnswers":["1.875"],"generatedAt":"2026-05-12T02:14:06.558Z","modelVersion":"gemini-3-flash-preview"},"tableImages":[],"explanation":{"methods":[{"id":"suvat_velocity","label":"Use the velocity equation","steps":[{"type":"text","order":0,"title":"Choose the SUVAT equation","content":"The known quantities are initial speed $u=5\\text{ ms}^{-1}$, final speed $v=20\\text{ ms}^{-1}$, and time $t=8\\text{ s}$. We need acceleration $a$, so use\n\n$$v=u+at.$$\n\nThis equation links exactly these four quantities.","highlights":[{"text":"accelerates at a constant rate and 8 seconds later it passes point B with a speed of $20\\text{ms}^{-1}$","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=equation}{\\color{@sky}{v=u+at}}"},{"latex":"\\htmlData{anchor=substitution}{\\color{@sky}{20=5+8a}}"}],"highlights":[{"color":"sky","style":"text-color-with-background","anchor":"substitution"}],"connections":[{"to":"substitution","from":"equation","color":"sky","label":"substitute"}]},"order":1,"title":"Substitute the known values","description":"Put the two speeds and the time into the velocity equation. This substitution earns the first method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{20=5+8a}"},{"latex":"\\htmlData{anchor=result}{\\color{@orange}{15=8a}}"}],"highlights":[{"color":"orange","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"result","from":"start","color":"orange","label":"subtract 5"}]},"order":2,"title":"Subtract 5","description":"Subtract 5 from both sides. Reaching this line earns the second method mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{15=8a}"},{"latex":"\\htmlData{anchor=result}{\\color{@green}{a=1.875\\text{ ms}^{-2}}}"}],"highlights":[{"color":"green","style":"text-color-with-background","anchor":"result"}],"connections":[{"to":"result","from":"start","color":"green","label":"divide by 8"}]},"order":3,"title":"Divide by 8","description":"Divide both sides by 8. This gives the accurate acceleration and earns the accuracy mark."}]}],"generatedAt":"2026-07-21T02:47:38.521Z","modelVersion":"gpt-5.6-terra","explanationVersion":"v3"},"options":[]},{"id":"f3f9a959-0e5d-4226-991a-66655b3074a1","label":"b","content":"Find the distance AB.","markscheme":"- Use $s = \\left(\\frac{u+v}{2}\\right)t = \\left(\\frac{5+20}{2}\\right) 8$ M1\n- $s = 12.5 \\times 8$ M1\n- $s = 100 \\text{ m}$ A1","marks":3,"order":1,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Uses $s = 0.5(u+v)t$.","code":"M"},{"id":"p2","marks":1,"description":"Substitutes values correctly.","code":"M"},{"id":"p3","marks":1,"descr

Constant Acceleration

Question 5

Constant Acceleration Questions

Constant Acceleration

Question 5

Constant Acceleration Questions