Motion - practice problems - page 6 of 51
Number of problems found: 1009
- Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body with radius r = 0.08 m and mass m = 1.5 kg at time t = 5 s, given that the body rotates about an axis through the centre of the cylinder with a constant angular acceleration ε = 5 rad/s², starting from re - Large 2
A large gear has 72 teeth, a medium gear has 56 teeth, and a small gear has 27 teeth. How many revolutions will the smallest gear make when the largest gear turns 120 times? - Police on time
A boat carrying smugglers has left the shore and is travelling at 85 km/h. After 10 minutes, a police boat starts chasing it at 110 km/h. International waters, where the possibility of apprehending the smugglers ends, begin 30 km from the coast. Will the - On a bicycle 5
Clara left the town square on her bicycle and rode toward the city at an average speed of 20 km/h. Johnny left the same square on his bicycle 15 minutes after Clara and rode in the same direction at an average speed of 30 km/h. How long did it take Johnny - Cyclist 30 A cyclist covered a distance of 18 km in 32 minutes at a constant speed. What distance in kilometres would he have covered at the same speed in 80 minutes?
- We are delayed
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/ - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h over a 54-metre-long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Shear friction
How much force must be applied to a box weighing 300 kg to move it at a constant speed along a horizontal floor, if the coefficient of sliding friction between the box and the floor is 0.5? - Missile 3
A missile penetrated an embankment to a depth of 1.2 m. What was its speed when it hit the surface of the embankment, if the missile's movement through the ground lasted 0.021 seconds and the motion was uniformly decelerated? - Acceleration of a car What was the initial speed of a car that, after accelerating at 2 m/s², reached a speed of 30 m/s in 10 seconds?
- Acceleration - free fall
How long will it take for a car to reach a speed of 180 km/h with an acceleration of 10 m/s²? - Distance Under Acceleration What distance will a car starting from rest travel with an acceleration of 10 m/s² in 5 seconds?
- Meeting of two airplanes
Two airplanes took off simultaneously from two airports 500 km apart, flying toward each other. One flies at a speed of 480 km/h, the other at 720 km/h. How long after takeoff will they meet and what distance will the first airplane fly? a) If there is no - To the city
A bus departs for a city 54 km away at an average speed of 15 m/s. A motorcycle departs from the same place 12 minutes after the bus to follow it. Calculate the average speed of the motorcycle if it arrives at the destination at the same time as the bus. - Tractor 17
A tractor's average speed was 2.4 km/h in the first minute of starting, 3.6 km/h in the second and third minutes, and 5.0 km/h in the fourth through sixth minutes. What distance did it cover during the first six minutes of driving? Determine the tractor's - Timetable
If a train travelling between two cities increases its scheduled speed by 5 km/h, it arrives 20 minutes early. If it decreases its speed by 5 km/h, it arrives 25 minutes late. How long is the route between the cities? - Didactic test B0
A tourist cycled 28 km on an asphalt road and 25 km on a dirt road, taking 3 hours and 36 minutes in total. At what speeds did the tourist travel each section if he rode 1.4 times faster on the asphalt road than on the dirt road? - Acceleration - gravity What is the gravitational acceleration if a body with a mass of 5.8 kg fell from 68 metres and hit the ground at a speed of 60 km/h?
- Kilometers of the journey A cyclist travelled 199 km over three days. On the first day, he travelled four times as far as on the second day, and on the second day, he travelled 7 km less than on the third day. How many kilometres did he travel each day?
- Infinite speed
A runner completes her first lap of the track at an average speed of 5 km/h. How fast must she run her second lap so that her overall average speed for both laps is 10 km/h?
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