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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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INSTRUCTIONS. SOLVE PROBLEM WITH FULL SINCERITY AND HONESTY. EACH SITUATIONAL ERASURES ARE NOT ALLOWED. FINALIZE ALL YOUR ANSWERS USING PERMANENT PEN. PLACE YOUR FINAL ANSWERS AT THE SPACE PROVIDED IN THE QUESTIONALE. NO POINTS. SOLUTION, NO SITUATION 1 The mathematical model N 0.4x² -36x + 1000 approximates the number of accidents N, per 50 million miles driven, for drivers who are x years old. The formula applies to drivers ages 16 through 74, inclusive. How many accidents per 50 million miles driven are there for 20- year-old drivers? SITUATION 2 A an into skidded Intercooler Pajero intersection of Magsaysay Avenue and Quirino Avenue and struck a bystander and continued until it hit one of the column support of the skyway. Based on the damage to the front of the car, the police report estimated that the car was doing 8 kph at the moment of impact on the column support. The length of skid marks was recorded to be 40m. The road has a downhill grade of -58. A test car skidded 14m on the same section of the road when the brake is applied from a speed of 40kph to the halt.. the probable speed of the car involved in the accident when the brakes were applied in kph. Determine SITUATION 3 The driver of a vehici a traveling at 80 kph up a grade requires 9m less to stop after he applies the brakes than the driver traveling at the same initial speed down the same grade. If the coefficient of friction between the tires and pavement is 0.50, what is the percent grade and braking distance down the grade. SITUATION 4 determine the A car was travelling at a speed of 80kph. The driver saw a roadblock 80m ahead and stepped. on the brake causing the car to decelerate uniformly at 10m/sec². Assuming perception- reaction time is 2 seconds, distance from the roadblock to the point where the car stopped in meters. SITUATION 5 A car driver travelling at a speed of 65 mph approached a hazard and travelled 72.2 m during the perception-reaction time. What was the driver's PIEV time in seconds? SITUATION 6 The driver of a car traveling at a certain speed suddenly sees an obstruction ahead and travelled 58.3m during the perception-reaction time of 1.3 seconds. Determine the car's speed of approach in kph. SITUATION 7 Determine the minimun stopping sight distance on a -3.5 grade for a design speed of 110 km/h? f 0.28. SITUATION B Find the head light distance for a speed of 65 kph. Given f 0.36, t-2.5 seconds. SITUATION 9 Find the intermediate sight distance for a speed of 65 kph. Given 0.36, t- 2.5seconds. Hint: ISD 2 x SSD. SITUATION 10 A driver noticed a road block while traveling at 40mph. He applied the brakes causing the car to accelerate uniformly at 6m/sec². The car stopped 12m from the road block. How far was the clock when the driver saw it first? Assume a perception time of 3 sec. SITUATION 11 A test vehicle moving at 40 kph was stopped by applying the brakes and the length of the skid mark was 12.2m. If the average skid resistance of the level pavement is known to be 0.70, determine the brake efficiency of the test vehicle. SITUATION 12 sees an A car moving at 80 kph on a level road suddenly obstruction 76m ahead. If the perception reaction time is 0.5 sec and the coefficient friction between the tires and the pavement is 0.4, how far from the obstruction will it stop?

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