Motion + expression of a variable from the formula - practice problems
Number of problems found: 118
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water?
- A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
- A long train
A train passes a standing man in 6 sec and 210 m long platform in 16 s . Find the length and the speed of the train.
- Long train
A 110 m long train crosses a tree in 3 s. How long will it take to cross a 165 m long platform and 135 m long bridge, If the platform and bridge are at a distance of 30 m?
- Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
- The speeds
The speeds of three cars are in the ratio 2:3:4. What is the ratio of the times taken by these cars to travel the same distance?
- Three journeys
If a person covers three equal distances at the speed of 30 km/h, 15 km/h and 10 km/h respectively, then find out the average speed during the whole journey.
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in
- Lightning strike
In a thunderstorm, the formula M=t/5.3 gives the approximate distance, M, in miles, from a lightning strike if it takes t second to hear the thunder after seeing the lightning. If you are 5.4 miles away from the lightning flash, how long will it take the
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
- Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time?
- Penetrates 83078
A hammer with a mass of 600 g hits the head of a nail at a speed of 5 m/s. If the nail penetrates 3 cm into the wall, what is the average resistive force of the masonry?
- Tourists 81058
Tourists traveled by bus to Croatia. They drove the highway in 8 hours at an average speed of 100 km/h. How fast would they cover it if they walked at an average speed of 120 km/h?
- Two-thirds 80635
The car traveled the first third of the track with a constant speed of v1, the next two-thirds of the way at a constant speed of v2=72km/h, and the average speed of v=36km/h. Find v1.
- Home is home
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drive his car so that he can reach home 10 minutes earlier?
- A particle 2
If the motion of a particle is described by the relation a(t) = 7t³ + 2 m/s², and the initial velocity of the motion is zero when t = 0 and the distance is 2m, t = 0.5s. Determine the velocity and displacement when t = 10s.
- Ivan rented
Ivan rented a truck for one day. The base fee was $14.95, and he drove an additional charge of 73 cents for each mile. When he returned the truck, he had to pay $114.96. How many miles did he drive the truck?
- A hiker
A hiker plans to hike up one side of a mountain and down the other side of points a mountain, each side of the mountain formed by a straight line. The angle of elevation at the starting point is 42.4 degrees, and the angle of elevation at the end is 48.3
- Observatory and aircraft
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
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