Examples for secondary school students - page 135 of 237
Number of problems found: 4730
- Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h? - Driver
The car driver drove at 100 km/h saw the obstacle and began braking with a slowing of 5 m/s². What is the pathway's length to stop the car when the driver has registered the obstacle with a delay of 0.7 seconds? - Brakes of a car
For the brakes of a passenger car to be effective, it is prescribed that a car be moving on a horizontal road at a speed of 40 km. A car must stop on the track 15.4 m. What is the deceleration of the car? - Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find the value of x - Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x; - Five-digit numbers
How many different five-digit numbers can be created from the number 2,3,5 if the number 2 appears in the number twice and the number 5 also twice? - 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? - Assembling teams
As you know, at the beginning of the school year new students go on adaptation courses. In one class they divided themselves into two unequally sized groups. The larger one decided to play football, the smaller one had in mind to play basketball. It was e - Two mass points Two mass points start moving simultaneously in the same direction from the same location: the first point moves uniformly at a speed of 50 cm/s, and the second point moves with uniform acceleration from rest at 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 with uniform acceleration with an initial velocity of 4 m/s and an acceleration of 0.5 m/s², while the second body moves with uniform deceleration with - Flowerbed Diagonal Steps Saved
The rectangular flowerbed has dimensions of 20 m and 10 m. How many steps will you save if you walk along its diagonal instead of walking along its two sides? Assume a stride length of 60 cm. - 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 move with uniform acceleration from rest: 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 time and distance at w - Ball acceleration distance
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. - Tractor braking calculation
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
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