Examples for secondary school students - page 129 of 230
Number of problems found: 4582
- Wrench 7152
We used a force of 85 N to loosen the nut when using a 20 cm long wrench. How much force do we use to loosen the nut when using a 10 cm long wrench? - Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5) - Acceleration 7149
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration. - Acceleration 7147
The runner ran the track 100m in 10.2 seconds. He ran the first 20m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20m section, and what was its maximum speed? - Component fail There is a 90 percent chance that a particular type of component will perform adequately under high-temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because precisely one of t
- Construct
Construct a triangle ABC inscribed circle with a radius r = 2 cm and an angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction, and description. - Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n?
- 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?
- 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
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