Examples for secondary school students - page 130 of 230
Number of problems found: 4597
- Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now? - Two mass points
Two mass points start moving simultaneously in the same direction from the same location: the first point uniformly with a speed of 50 cm/s, and the second point uniformly accelerated with zero initial speed and an acceleration of 10 cm/s². Determine a) t - Two bodies 2
Two bodies start moving simultaneously from the same place in the same direction. The first body moves uniformly accelerated with an initial velocity of 4 m/s with an acceleration of 0.5 m/s², the second body moves uniformly decelerated with an initial ve - Rectangular 7082
The rectangular flowerbed has dimensions of 20m and 10m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Honors with a stride length of 60cm. - Brakes
The braking efficiency of a passenger car is required to stop at 12.5 m at an initial speed of 40 km/h. What is the acceleration braking by brakes? - Two cars 6
Two cars leave the same place one after the other 15 seconds apart. Both are moving with uniform acceleration and zero initial velocity, the first car with an acceleration of 0.5 m/s², and the second car with an acceleration of 2 m/s². Determine a) the ti - Acceleration 7074
A ball placed on an inclined plane begins to move and reaches a speed of 1 m/s in 5 s. Assuming that the ball's motion is uniformly accelerated, determine the magnitude of its acceleration and the distance it travels in the given time. - An acceleration
The car goes on a straight road at a speed of 72 km/h. At some point, the driver starts to brake and stops the car in 5 seconds. Find: (a) the acceleration during braking and (b) the distance traveled during braking. - Acceleration 7071
A tractor travels along a straight road at a speed of 15 m/s. The tractor driver starts braking with an acceleration of 2 m/s². Specify a) the magnitude of the speed and the path of the tractor in 5 s from the moment it started to brake b) the time for wh - Train speed
The train speed is decreased from 72 km/h to 36 km/h in 50 seconds. If the train movement is continuously slowing, find the acceleration and the distance it travels. - The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in 1990 and the crime rate remains constant each year, determine the approximate number of crimes in 2025. - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - Collision The two bodies, whose initial distance is 240 m, consistently move evenly against each other. The first body has an initial velocity of 4 m/s and an acceleration of 3 m/s². The second body has an initial speed of 6 m/s and an acceleration of 2 m/s². Find
- Car crash
A car crash occurred on the road with a maximum permitted speed of 60 km/h. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, assu - Acceleration 7054 The car brakes with an acceleration of 5 m/s². Determine the stopping distance of the car if its initial speed is a) 54 km/h, b) 108 km/h. Compare the calculated braking distances concerning the given speeds.
- AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Diagonals of pentagon
Calculate the diagonal length of the regular pentagon: a) inscribed in a circle of radius 12dm; b) a circumscribed circle with a radius of 12dm. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - The tourist
The tourist traveled 190km in 5 hours. Part of the journey was at 5 km/h, and the rest was by bus at 60 km/h. How long has a bus gone?
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