# Motion problems - practice problems

Word motion problems can be divided into three basic groups:1. bodies come from one place.

2. the bodies go against each other.

3. bodies move in space, e.g., after the ballistic curve, falling, etc.

The basic formula is s = v * t, i.e., the path is equal to the speed multiplied by the movement time.

#### Number of problems found: 593

- 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.there was a base fee of $14.95, and there was additional charge of 73 cents for each mile driven. Ivan had to pay $114.96 when he returned the truck. For how many miles did he drive the truck? - Car fuel

Tanya drove 3 1/2 hours and used 1/3 tank of gas. For how long could Tanya drive using 1/2 tank of gas? Enter your answer as a mixed number in simplest form in the box. - A bus 3

A bus has petrol tank in the shape of a cylinder. The cylinder is 125 cm long and has a diameter of 42 cm. (i) How much will a full tank of petrol cost at the rate of 5.23 per liter? (ii) If the bus uses petrol at the rate of 12.5 liters for every 50 km, - A speedboat

A speedboat goes 900 km against a current of 25 km/hr. It took 10 minutes longer for his trip than it would have taken it to travel with the current. What is the speedboat’s speed in still water? - A boy 2

A boy dropped a coin from top of the dry well and a sound was heard by him 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - The distance 2

The distance between two ports M and N is 2100km. If two ships travel towards each other with one ship leaving port M at 20km/h and at the same time another ship from port N travel 15km/h. (I) How long will it take the two ships to meet. (ii) how far will - A Ferris wheel

A Ferris whee with a diameter of 100 feet makes 5 revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3PM sharp. a) wrote an equation to express the height in feet of your friend at any given time in secon - Three trucks

There are places A and Y, three trucks, B, C, and D, respectively. Truck B is 60 km/h, C is 40 km/h and D is 80 km/h. Trucks B and C start at place A while D starts at Y. After D and B meet, two hours later, will D meet C. What is the distance between pla - A bus 2

A bus travelled from Town A to Town B. The whole journey, a 240 km ride, started at 1:00 p.m. and ended at 5:00 p.m. Find the average speed of the bus. - Buses A and B

Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves Worcester at 10:00 along the same route at 70 km/h. At what time will bus B pass bus A? - 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 - Designated 71874

The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started. - An airplane 2

An airplane left Changi International Airport at 9 p.m. and fly 5841 km to Dubai International Airport. If the airplane flies at an average speed of 649 km/h, what is the arrival time of the plane? A) 6 a.m. the same day B) 8 a.m. the same day C) 6 a.m. t - A cyclist

A cyclist rides for 30 minutes on a style road to the top of a mountain. Of down there, the road goes downhill. Its uphill speed is 20km/h and 60km/h downhill. The distance from the summit of the mountain to its destination is 30 km. Calculate the average - A BICYCLIST

A BICYCLIST travelled for T=1.9hrs at a constant speed of R=32km/hr . Find distance traveled - Lightning 69734

The sound travels at a speed of 1km in 3 seconds. If the thunder is heard 12 seconds after the lightning, what distance is the storm? - Increases 69454

The car weighs 1850 kg and increases its speed from 27 to 81 km / h. How much has its kinetic energy increased? - Kilometers 69264

Laura went for a new bike ride. In an hour, her father followed her on the same route at a speed of 60 km / h and overtook her in 1/2 hour. a) Find in kilometers the length of Laura's route before her father caught up with her. b) Determine in kilometers - Fu Da

Fu Da spent a whole day traveling. 5/8 of the journey was spent by airplane, and 1/4 of the remainder was by train. He spent 6 3/4 h on the bus journey. a) How long did Fu Da spend on the train journey? b) How much longer did Fu Da spend on the airplane t

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