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categoryرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
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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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