# Unit conversion + motion problems - math problems

#### Number of problems found: 83

• Tandem jump
During the tandem jump, the paratroopers dropped from a height of 1.7 km to a height of 1.5 km above the surface in 4 seconds. At what average speed did they move before the parachute opened?
• Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train entered the tunnel, which according to Kub's book is 2 km long. Kubo noticed that the end of the train had left the tunnel 75 seconds later than the locomotive had entered the tunnel. Wh
• Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train?
• The train
The train starts for 2 min with an acceleration of 25 cm/s2. What speed will he gain in this time and what path will he pass?
• The Nürburgring
The Nürburgring in Germany is a racetrack that hosts racing events all year. Two of the fastest laps ever driven on the track are 6 minutes 47.30 seconds and 6 minutes 52.01 seconds. How much faster is the 6 minutes 47.30 seconds time than the 6 minutes 5
• Two cars
Two cars (trucks and passenger) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the s
• Aircraft bearing
Two aircraft will depart from the airport simultaneously, the first with a course of 30° and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight?
• Long hot dog
In Kostelec above Black Forest, they made a record-long hot dog. When slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint is 28 cm; he measured 20 feet in travel direction, counted 5 feet against t
• Motorbike circuit
On a 2,550 m long circuit, two motorcycles go at such speeds that they meet every minute if they go against each other and run every 5 minutes if they go in the same direction. Find their speeds.
• Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
• Gears
The front gear on the bike has 32 teeth and the rear, on the wheel, has 12 teeth. How many times does the bike's rear-wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
• Sound speed in Earth
Through the surface layers of the Earth, sound propagates 13 times faster than through air. During the geological survey, the charge exploded 1.7 km from the measuring station. How long does it take between the vibration of the soil at the measuring point
• Train delay
Due to a breakdown, the train lost 16 minutes of standing on the track behind Brno. He "eliminated" this delay so that after the start, the 80 km long section went at a speed 10 km/h higher than originally planned. What speed was it and what was it suppos
• Hiking trip
Rosie went on a hiking trip. The first day she walked 18kilometers. Each day since she walked 90 percent of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Round your final answer to the nearest ki
• 2 cyclists and car
One cyclist rides at a constant speed over a bridge. It is 100 meters long. When he is 40 meters behind him, he meets an oncoming cyclist who is riding at the same speed. The car travels along the bridge in the same direction as the first cyclist at a spe
• On the
On the map of Europe made at 1: 4000000, Bratislava and Paris' distance is 28 cm. At what time an airplane flying 800 km/h will fly this journey?
• Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
• Cyclist 12
What is the average speed of a cycle traveling at 20 km in 60 minutes in km/h?
• The convoy
During a military exercise, the convoy left the camp at 5 hours at a speed of 40 km/h. Half an hour later, a motorcycle clutch was sent at a speed of 70 km/h. How long before the motorcycle clutch reaches the column?
• Two trains
The train runs at speed v1 = 72 km/h. The passenger, sitting in the train, observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train.

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Unit conversion - math problems. Motion problems - math problems.