Quiz interactif généré par IA à partir du document : Vitesse initiale.pdf
Question 1 sur 10 20:00
[{"id":7025,"question":"Quelle est l'unité SI de la vitesse initiale ?","option_a":"m\/s","option_b":"km\/h","option_c":"m\/s²","option_d":"N","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'unité SI de la vitesse est le mètre par seconde (m\/s).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"m\/s\", \"b\": \"km\/h\", \"c\": \"m\/s²\", \"d\": \"N\"}}","_debug_options_count":4},{"id":7026,"question":"Dans un mouvement uniformément varié, si l'accélération est nulle, le mouvement est :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Si l'accélération est nulle, le mouvement est uniforme (vitesse constante).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":7027,"question":"L'équation horaire de la position d'un mobile en mouvement uniformément varié est :","option_a":"x(t) = x₀ + v₀·t","option_b":"x(t) = x₀ + v₀·t + ½·a·t²","option_c":"x(t) = v₀·t + ½·a·t²","option_d":"x(t) = x₀ + a·t²","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'équation correcte est x(t) = x₀ + v₀·t + ½·a·t², où x₀ est la position initiale.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x(t) = x₀ + v₀·t\", \"b\": \"x(t) = x₀ + v₀·t + ½·a·t²\"","_debug_options_count":4},{"id":7028,"question":"Un véhicule démarre avec une accélération constante de 2 m\/s². Quelle est sa vitesse après 5 secondes si sa vitesse initiale est de 10 m\/s ?","option_a":"15 m\/s","option_b":"20 m\/s","option_c":"10 m\/s","option_d":"30 m\/s","option_e":"","option_f":"","bonne_reponse":"b","explication":"v = v₀ + a·t = 10 + 2×5 = 20 m\/s.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"15 m\/s\", \"b\": \"20 m\/s\", \"c\": \"10 m\/s\", \"d\": \"30 m\/s\"}}","_debug_options_count":4},{"id":7029,"question":"Un objet est lancé verticalement vers le haut avec une vitesse initiale de 15 m\/s. Son accélération est-elle positive ou négative ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'accélération est négative (opposée au sens du mouvement), car elle est due à la gravité (g ≈ -9,8 m\/s²).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":7030,"question":"Quelle formule permet de calculer la distance parcourue par un mobile en mouvement uniformément varié ?","option_a":"d = v₀·t","option_b":"d = v₀·t + ½·a·t²","option_c":"d = a·t²","option_d":"d = v·t","option_e":"","option_f":"","bonne_reponse":"b","explication":"La distance est donnée par d = v₀·t + ½·a·t² (si v₀ ≠ 0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"d = v₀·t\", \"b\": \"d = v₀·t + ½·a·t²\", \"c\": \"d = a·t²\",","_debug_options_count":4},{"id":7031,"question":"Un mobile a une vitesse initiale de 5 m\/s et une accélération de -2 m\/s². Après 3 secondes, sa vitesse est :","option_a":"-1 m\/s","option_b":"1 m\/s","option_c":"5 m\/s","option_d":"-5 m\/s","option_e":"","option_f":"","bonne_reponse":"a","explication":"v = v₀ + a·t = 5 + (-2)×3 = -1 m\/s.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-1 m\/s\", \"b\": \"1 m\/s\", \"c\": \"5 m\/s\", \"d\": \"-5 m\/s\"}}","_debug_options_count":4},{"id":7032,"question":"Dans un graphique vitesse-temps, l'aire sous la courbe représente :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'aire sous la courbe vitesse-temps représente la distance parcourue.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":7033,"question":"Un projectile est lancé avec une vitesse initiale de 20 m\/s sous un angle de 30°. Quelle est sa vitesse initiale horizontale ?","option_a":"10 m\/s","option_b":"17,3 m\/s","option_c":"20 m\/s","option_d":"10√3 m\/s","option_e":"","option_f":"","bonne_reponse":"b","explication":"La composante horizontale est v₀x = v₀·cos(30°) ≈ 20×0,866 ≈ 17,3 m\/s.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"10 m\/s\", \"b\": \"17,3 m\/s\", \"c\": \"20 m\/s\", \"d\": \"10√3 m\/s\"}}","_debug_options_count":4},{"id":7034,"question":"Si un mobile a une accélération constante, son mouvement est :","option_a":"Uniforme","option_b":"Uniformément varié","option_c":"Circulaire","option_d":"Accéléré","option_e":"","option_f":"","bonne_reponse":"b","explication":"Un mouvement avec accélération constante est uniformément varié.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Uniforme\", \"b\": \"Uniformément varié\", \"c\": \"Circulaire\", \"d\": \"","_debug_options_count":4}]
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