Pythagorean theorem + velocity - practice problems
Number of problems found: 32
- Minute
Two boys started from one place. The first went north at a velocity of 3 m/s, and the second to the east with a velocity of 4 m/s. How far apart are they after a minute? - Acceleration 2
If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem - Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Perpendicular 80464
A group of tourists split up at the intersection of two perpendicular paths. One group walked at a speed of 5.3 km/h. Second group 4.1km/h. How far were the two groups from each other after 1h 25min?
- Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Perpendicular 22931
How far apart will two passenger cars be after 2 hours of driving if they left the same garage on two perpendicular paths, one going at 82 km/h and the other at a speed of 104 km/h? - Two aircraft
From the airport will start simultaneously two planes, which flight tracks are perpendicular to each other. The first flying speed of 680 km/h and the second 840 km/h. Calculate how far the aircraft will fly for half an hour. - Perpendicular 5712
Adam and Boris go from school on two perpendicular paths. Adam's average speed is 6 km/h, and Borisova's is 8 km/h. How far will they be by air for 0.5 hours? - Two cyclists
Two cyclists started crossing at the same time. One goes to the north speed of 20 km/h, the second eastward at a speed of 26 km/h. What will be the direct distance cycling 30 minutes from the start?
- Overload
Calculate how many g's (gravity accelerations) the glider pilot when turning the horizontal circles of radius 148 m flying at 95 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotation - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes? - 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 - Cross road
From the junction of two streets perpendicular to each other, two cyclists (each on another street) walked out. One ran 18 km/h and the second 24 km/h. How are they away from a) 6 minutes, b) 15 minutes?
- Movement
From the crossing of two perpendicular roads started two cyclists (each on a different road). One runs at an average speed of 28 km/h, and the second 24 km/h. Determine the distance between them after 45 minutes of cycling. - Two aircraft
Two planes fly to the airport. At some point, the first airplane is away from the airport by 98 km and the second 138 km. The first aircraft flies at an average speed of 420 km/h, and the second average speed is 360 km/h, while the tracks of both planes a - Minutes 38331
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight? - Observatory 71934
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - Gimli Glider
Aircraft Boeing 767 lose both engines at 42000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 1910 feet and maintain constant speed 211 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
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