2DAge 10+10 min
Two cyclists toward each other: when do they meet
A motion problem with sliders: change the distance and speeds, run the scene and check your answer. A model for building your own problems.
Projects gallery
Motion problems
Every problem is a real Tymora project: a physics scene, sliders for the statement, an answer field and a step-by-step solution. Solve it, change the numbers, then open a copy in the editor and build your own from the model.
- 1
Solve
Run the scene, work it out and enter the answer: the check and a hint are right there.
- 2
Change
Move the sliders: the statement, the scene and the answer update themselves.
- 3
Copy
Make a copy in the editor and build your own problem from the model.
Moving toward each other
2DAge 10+10 min
A bus and a car toward each other
A bus and a car leave two cities toward each other. Change the distance and speeds with the sliders and check when they meet.
2DAge 10+10 min
Two pedestrians toward each other
Two pedestrians walk toward each other from two points. Change the distance and speeds and check when they meet.
2DAge 10+10 min
A motorcyclist and a truck toward each other
A motorcyclist and a truck drive toward each other; the truck's speed is a fraction of the motorcyclist's. Find the meeting time.
Moving in opposite directions
2DAge 10+10 min
Two cyclists in opposite directions
Two cyclists leave one point in opposite directions. Find the distance between them after the given time.
2DAge 10+10 min
Two buses from a bus station
Two buses leave a bus station in opposite directions. Find after how many hours they are the given distance apart.
2DAge 10+10 min
Two skiers in opposite directions
Two skiers go in opposite directions, the second a few km/h slower. Find the distance between them after the given time.
2DAge 10+10 min
Two groups of schoolchildren
Two groups leave a camp in opposite directions. Find after how many hours the distance between them reaches the given value.
Moving in the same direction (catching up)
2DAge 10+10 min
A bus and a car, catching up
A bus leaves first and a car follows. Change the speeds and the head start and check when the car catches up.
2DAge 10+10 min
A pedestrian and a cyclist, catching up
A pedestrian sets off first and a cyclist follows. Find the time the cyclist needs to catch up.
2DAge 10+10 min
Two trains, one behind the other
Two trains go the same way; the second starts behind the first and is faster. Find when it catches up.
2DAge 10+10 min
Two tourists, catching up
The first tourist leaves point M, the second leaves later and faster. Find the time to catch up.
Moving on a river: downstream and upstream
2DAge 10+10 min
A boat downstream: how far does it go
A river motion problem with sliders: own speed, current and time. Run the boat, find the distance and check your answer.
2DAge 10+10 min
The boat's own speed
The speed downstream and the current are known. Find the boat's own speed and its speed upstream.
2DAge 10+10 min
A boat downstream and back
A boat covered a given distance downstream in a few hours. Find its speed downstream and on the way back.
2DAge 10+10 min
A kayak there and back
A kayak covers equal stretches downstream and upstream. Find the total travel time.
2DAge 10+10 min
A boat between two piers
A boat goes between two piers in one time downstream and another upstream. Find its own speed.
Combined and harder problems
2DAge 10+10 min
On foot or by scooter
A pupil goes to school on foot or by scooter. Find how many minutes the scooter saves.
2DAge 10+10 min
A train and a bridge
An 800 m train passes a 400 m bridge. Change the speed and find how many seconds it takes to cross the bridge completely.
2DAge 10+10 min
Two cars and a time difference
Two cars drive from one city to another at different speeds and arrive at different times. Find the distance between the cities.