test","extracted_subject":"PHYSICS","extracted_chapter":"MOTION IN A STRAIGHT LINE","extracted_topic":"INSTANTANEOUS VELOCITY AND SPEED","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_43.png?top_left_x=0&top_left_y=1041&width=532&height=276&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23c5570136192204b8000","slug":"a-car-starts-from-rest-moves-with-an-acceleration-","content":"A car starts from rest, moves with an acceleration a and then decelerates at b for sometime to come to rest. If the total time taken is t, the maximum velocity is","options":[{"_id":"68a377c07f15af4716b56cb7","text":"abt/a + b","sequence":0,"isCorrect":true},{"_id":"68a377c07f15af4716b56cb8","text":"a²t/a + b","sequence":1,"isCorrect":false},{"_id":"68a377c07f15af4716b56cb9","text":"at/a + b","sequence":2,"isCorrect":false},{"_id":"68a377c07f15af4716b56cba","text":"b²t/a + b","sequence":3,"isCorrect":false}],"correct_answer":"abt/a + b","explanation":"v = 0 + at₁; 0 = at₁- b(t – t₁)\n\nor t₁ = bt/a + b\n\n∴ v_max = abt/a + b\n\n

","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:40:37.158Z","__v":0,"vector_store_id":"2c1771a6-aca7-49b8-b2d2-477240b7fc94","updated_at":"2024-08-30T21:40:37.158Z","isStarred":false},"params":{"questionSlug":"a-car-starts-from-rest-moves-with-an-acceleration-"}}]}]]

Question: A car starts from rest, moves with an acceleration a and then decelerates at b for sometime to come ...

Solution