rds","topicId":"afe30c60-3dbe-4898-a98e-99b6a4302814","topicSlug":"projectiles","cards":[{"id":"8957d4c2-42a4-4ea1-8a7a-a932e9a21379","cardType":"basic","front":"What value of $g$ is used unless stated otherwise?","back":"$g=9.8\\text{ m s}^{-2}$.","points":1,"mcqOptions":null},{"id":"7b748a58-639e-440a-8cb5-ec277128bab1","cardType":"basic","front":"Why is horizontal velocity constant in the standard projectile model?","back":"There is no horizontal acceleration.","points":2,"mcqOptions":null},{"id":"7642765d-561b-42d0-ba3d-b972a3126c97","cardType":"basic","front":"What connects the separate horizontal and vertical motions?","back":"They share the same time $t$.","points":1,"mcqOptions":null},{"id":"6b5b1db7-a541-4673-bc0b-bc82f27ba5b4","cardType":"cloze","front":"For launch speed $u$ at angle $\\theta$ above the horizontal, $u_x=$ $\\text{[...]}$ and $u_y=$ $u\\sin\\theta$.","back":"For launch speed $u$ at angle $\\theta$ above the horizontal, $u_x=$ $\\boxed{u\\cos\\theta}$ and $u_y=$ $u\\sin\\theta$.","points":null,"mcqOptions":null},{"id":"dc1a4642-094d-44d5-8888-f87d65b8007a","cardType":"cloze","front":"For launch speed $u$ at angle $\\theta$ above the horizontal, $u_x=$ $u\\cos\\theta$ and $u_y=$ $\\text{[...]}$.","back":"For launch speed $u$ at angle $\\theta$ above the horizontal, $u_x=$ $u\\cos\\theta$ and $u_y=$ $\\boxed{u\\sin\\theta}$.","points":null,"mcqOptions":null},{"id":"00740b0b-d2ff-4846-b91e-dba816d8d94a","cardType":"basic","front":"What is the horizontal displacement after time $t$?","back":"$x=(u\\cos\\theta)t$.","points":1,"mcqOptions":null},{"id":"994e825f-4f88-4b47-b967-cc529eecfae8","cardType":"basic","front":"What is the vertical displacement after time $t$, taking upwards as positive?","back":"$y=(u\\sin\\theta)t-\\frac12gt^2$.","points":1,"mcqOptions":null},{"id":"6e30b871-e39d-4f04-b6a5-0873140e32cc","cardType":"cloze","front":"During flight, the velocity components are $v_x=$ $\\text{[...]}$ and $v_y=$ $u\\sin\\theta-gt$.","back":"During flight, the velocity components are $v_x=$ $\\boxed{u\\cos\\theta}$ and $v_y=$ $u\\sin\\theta-gt$.","points":null,"mcqOptions":null},{"id":"84dae692-3602-4044-85af-4e842771f9f8","cardType":"cloze","front":"During flight, the velocity components are $v_x=$ $u\\cos\\theta$ and $v_y=$ $\\text{[...]}$.","back":"During flight, the velocity components are $v_x=$ $u\\cos\\theta$ and $v_y=$ $\\boxed{u\\sin\\theta-gt}$.","points":null,"mcqOptions":null},{"id":"432ce466-cfd2-47c1-b090-e8c07418d490","cardType":"basic","front":"How is the projectile's speed found from its velocity components?","back":"$|\\mathbf{v}|=\\sqrt{v_x^2+v_y^2}$.","points":1,"mcqOptions":null},{"id":"a23dec08-3898-4cf4-b145-b96b1dc5f9cd","cardType":"basic","front":"What condition identifies the highest point of a projectile?","back":"The vertical velocity is zero: $v_y=0$.","points":1,"mcqOptions":null},{"id":"be262fa6-d14a-4453-9ab5-e889b0df2e44","cardType":"basic","front":"What is the projectile's velocity at its highest point?","back":"$\\mathbf{v}=\\begin{pmatrix}u\\cos\\theta\\\\0\\end{pmatrix}$.","points":1,"mcqOptions":null},{"id":"b8712dfd-ff11-4ceb-ade9-64531b2abff9","cardType":"basic","front":"How long does a projectile take to reach maximum height?","back":"$t_{\\text{up}}=\\frac{u\\sin\\theta}{g}$.","points":1,"mcqOptions":null},{"id":"7a17615f-ba2a-4e15-9e77-0a5a721f94a8","cardType":"basic","front":"What is the maximum height above the launch point?","back":"$H=\\frac{u^2\\sin^2\\theta}{2g}$.","points":1,"mcqOptions":null},{"id":"6a4328e0-f380-4777-8518-094f76df241f","cardType":"cloze","front":"When landing at launch height, the flight time is $\\text{[...]}$ and the horizontal range is $R=\\frac{u^2\\sin 2\\theta}{g}$.","back":"When landing at launch height, the flight time is $\\boxed{T=\\frac{2u\\sin\\theta}{g}}$ and the horizontal range is $R=\\frac{u^2\\sin 2\\theta}{g}$.","points":null,"mcqOptions":null},{"id

3.2.9 Projectiles (A-level only) Flashcards

3.2.9 Projectiles (A-level only) Flashcards