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categoryالهندسة الميكانيكية schoolبكالوريوس event_available2026-07-15

السؤال

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CD is a straight road of length 12 Km. Car v1 starts from C with initial velocity (2.5 m/s) toword B and accelerates by (0.06) m/s2 toward D Untill its velocity reaches to (62) Km/hr and remains constant at this velocity. Car v2 starts from D (1) min before car v1 with initial velocity (10) Km/ hr and acceleration (0.05) m/s2 both toward C until it reaches a speed of (50) Km/hr and remains at this speed. To avoid crash a sensor in v2 that give alarm when v1 is (250) m away from v2 then v2 will stop at the side of road and waits until v1 pass then it returns back to the road with same acceleration. I- How long car v2 will wait at the side of road. li-v1 and v2 must stop at C and D. They must decelerate and stop with in 15 s at what distance from end station each car must stop and if deceleration is const and must starts (10) s before stop, what is value of decelerations. A. Solve using a-t, v-t and s-t diagram B-repeat solution using mathematical and physical relations and equation C-Discuss advantage and disadvantage of each method

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