Motion problems - math word problems - page 30 of 51
Number of problems found: 1009
- Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (t²+ 2t + 1 ; 2t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the positio - Trip distance calculation
In three days, the students went 65 km on a trip. On the first day, they ran twice as much as on the third day, and on the second day, they ran 10 km less than on the first day. How many kilometers did they cover each day? - Rocket start
A body launched vertically upward returns to its starting point after 6 seconds. What maximum height did it reach? - Formula One Laps Kilometers
Formula 1 drivers drive on the training circuit. After one-third of the 42 laps, he must go into the pit. How many laps have they covered by then? One circuit measures 15 km. How many kilometers have they traveled, and how many kilometers do they still ha - Walking
The boy walked about 8.5 km in an hour. How long will it take to walk a distance of 32 km if he takes two breaks of 30 minutes during the route? - Athletic competition
In a 400-meter athletic competition, a participant covers the distance given below. Find the average speed. first 80 meters 10 m/s next 240 meters 7.5 m/s last 80 meters 10 m/s - Driver Speed Increase Time
The driver covered the distance between the two cities in 2 hours at an average 75 km/h speed. How did he change speed to get 20 minutes faster? - Cyclist pursuit
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) had a front-wheel diameter of up to 1.5 meters, while the rear wheel w - Cars Meeting Speed Difference
The distance between cities A and B is 125 km. Two cars start from these places at the same time. The difference in their speed was 3 km/h. They met in an hour. What was the speed of each car? - Connected 3 gears
There are three connected gears. Wheel A has 30 teeth, wheel B has 15 teeth, and wheel C has 20 teeth. How many turns does wheel A make when wheel C turns nine times? a) 6, b) 5, c) 4 d) 8 - Bicycle race route The bicycle race route rises for two-fifths of its length, descends for three-eighths, and is flat for the rest. If the length of the uphill section is 4 km longer than the length of the downhill section, how long is the race route? a) 160 km b) 100 km c)
- Constant motion The car has undergone constant motion, traveling 120 km in 1 hour and 30 minutes. Determine its average speed. Also, determine how far the car drove in the first 20 minutes and in the first 50 minutes after starting.
- Cyclist Three Day Route The cyclist drives a 240 km long route in 3 days. On the first day, go half of the entire route. The second day passed two-fifths of the rest of the way. What percentage of the cyclist completed the whole way on the third day?
- Round-trip A woman works at a law firm in city A, about 50 miles from city B. She must go to the law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 40 mph.
- Hikers Meeting Time Route
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00? - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Car and motorcyclist A car and a motorcyclist rode against each other from a distance of 190 km. The car drove 10 km/h higher than the motorcyclist and started half an hour later. It met a motorcyclist in an hour and thirty minutes. Determine their speeds.
- Grandmother Mom walked out to visit her grandmother in a neighboring village 5 km away and moved at a speed of 4 km/h. An hour later, father drove down the same road at an average speed of 64 km/h. 1) How long will it take to catch Mom? 2) What is the approximate dis
- Two cyclists 2 At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36 min
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