Velocity - math problems

The velocity of an object is the time rate of change of its position. Velocity is a specification of an object's speed and direction of motion (e.g. 20 m/s to the south).

In everyday use and in kinematics, the speed of an object is the magnitude of its velocity (the rate of change of its position) - scalar.

Number of problems found: 395

  • Day trip
    tourists A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at
  • A plane
    aircraft-02 A plane is flying at the rate of 350 mph after an eight hour flight is at its destination how far did the plane fly?
  • Golf ball
    balls2 When a golf ball is hit with a 2 iron, it rotates at a rate of 8 1/3 times/second. How many times does this ball rotate if it is airborn for 7 1/3 seconds
  • A raindrop
    rain A raindrop falls at a rate of 9.3 meters per second (m/s). Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min = 60 sec 1 hour = 60 min
  • Francesca
    meter Francesca is growing 1/2 inch each year. How many years will it take for her to grow 6 inches?
  • The temperature 13
    graf_pohyb The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C?
  • Two cars
    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
  • Water tank
    watertank The block-shaped tank is 2.5 m long, 100 cm wide and 12 dm high. In how many minutes will it be filled with water to two thirds if 40 liters of water flow into the tank per minute?
  • A cheetah
    cheetah A cheetah was separated from his brothers on a hunting mission.  The brothers were at the watering hole 120 km away.  The lost cheetah knew that he had to make it back before sundown which was 1.5 hours away.  His brothers had planned to leave the waterin
  • Average speed
    speed The car drove on one section of the highway for half an hour at a speed of 80 km/h. Then he reduced his speed to 60km/h. It went three-quarters of an hour at a speed of 60 km/h. What was the average speed of the car?
  • Shortcut
    clocks The road from the cottage to the shop 6 km away leads either along a straight road that the bicycle can drive at a speed of 18 km/h or by "shortcut". It measures only 3.6 km. But the road from the cottage is all uphill - at a speed of 8 km/h, you can go h
  • Decelleration
    car In a braking test, a vehicle that travels at 51 km/h stops in 5 s. What is the acceleration?
  • The car
    car The car weight 1280 kg, increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert?
  • The bomber
    bomber_b2 From what distance in front of the target must a parachute load be dropped from an aircraft flying at an altitude of 1260 m if it slopes at a speed of 5.6 m/s and at the same time is carried in the direction of movement at a speed of 12 m/s. What is the d
  • Aircraft bearing
    aircraft-02 Two aircraft will depart from the airport at the same time, 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
    parky 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
  • Free fall
    freefall1 The elevator car weighing 720 kg is torn off at a height of 125 m and begins to fall in a free fall. How much kinetic energy does the elevator car have when it hits the ground floor of the building, when the free fall of the car lasted 5 s?
  • Free fall 5
    freefall1 Jeremy accidently dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground at a velocity of 16.0 meters/second. At impact, it took 2.0 seconds for the toy’s velocity to reach 0 meters/second. If the toy
  • Cindy run
    runners Suppose it takes 1/3 of an hour for Cindy to run 3/5 of a mile. How many miles does she run in 1 hour?
  • Brno-Tachov highway
    cars The distance Brno-Tachov is 360 km. At 8:00 a. M. , a car travels from Brno on the highway, traveling at an average speed of 90 km/h. An hour later, a car leaves Tachov towards Brno, whose average speed is 110 km/h. Calculate how far apart they will be at

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.



We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...



Do you want to convert velocity (speed) units? See also more information on Wikipedia.