Motion problems - math word problems - page 27 of 43
Word motion problems can be divided into three basic groups:1. bodies come from one place.
2. the bodies go against each other.
3. bodies move in space, e.g., after the ballistic curve, falling, etc.
The basic formula is s = v * t, i.e., the path is equal to the speed multiplied by the movement time.
Number of problems found: 857
- 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? - 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. Assuming that the train movement is continuously slowing, find the acceleration and the distance it travels. - 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/s-2. 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. - The tourist
The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone?
- Clock's gears
In the clock machine, three gears fit together. The largest has 168 teeth, the middle 90 teeth, and the smallest 48 teeth. The middle wheel turns around its axis in 90 seconds. How many times during the day do all the gears meet in the starting position? - Kocourkov 7007
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time? - Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and after passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h. The bus goes at a steady speed of 54 km/h. - Perpendicular 7005
A speedboat moves relative to the water at a constant speed of 13 m/s. The speed of the water current in the river is 5 m/s a) At what angle concerning the water current must the boat sail to keep moving perpendicular to the banks of the river? b) At what - Graphically 7004
A boatman walks along the ship's deck at a constant speed of 5 km/h in a direction that forms an angle of 60° with the direction of the ship's speed. The boat moves with respect to the lake's calm surface at a constant speed of 10 km/h. Determine graphica
- The swimmer
The swimmer swims at a constant speed of 0.85 m/s relative to water flow. The current speed in the river is 0.40 m/s, and the river width is 90 m. a) What is the resulting speed of the swimmer for the tree on the riverbank when the swimmer's motion is per - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Perpendicular 7001
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b) - Concerning 7000
Some points are at rest in a moving railway car concerning the earth's surface. However, some points move in the opposite direction to the direction of the moving car's speed. Which points are they? - Relative 6999
The crawler tractor travels at a speed of 5 m / s. How fast are the top and bottom of the tractor belt relative to the road surface?
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