Velocity - high school - practice problems
Number of problems found: 267
- Dogde Caliber
The petrol kilometers M (unit: kilometers per liter) of the Dodge Caliber car is modeled by the function: M(s) = - 1/28s² + 3s- 31 What is the car's best petrol kilometers, and what speed is attained? - Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed - The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - Acceleration 83305
A body of mass 500 kg is lifted with a uniformly accelerated rectilinear motion using a rope. Determine the acceleration at which the rope breaks if it sustains a load of 15,000 N. - Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Mechanical 83220
An airplane weighing 100 tons flies at an altitude of 11 km at a speed of 850 km/h. What is its kinetic, potential, and total mechanical energy? - Absolute 83086
A sound source emits a tone with an absolute pitch of 500 Hz and moves towards the observer at a speed of 5 m/s. Sound travels at a speed of 340 m/s. How fast is an observer moving who hears a tone with an absolute pitch of 522 Hz? - Suspended 82617
A round steel weight (ρ1=7800 kg/m3) is suspended on a thread and immersed in water (ρ2=1000 kg/m3). The volume of the weight is 1dm³. With what force is the thread stretched? - Acceleration 82603
How far must a car travel to reach a speed of 72 km per hour if it starts from rest in a uniformly accelerated motion with an acceleration of 0.2 meters per second²? - Horizontal 82601
Water flows in a horizontal tube at a speed of 2.24 m/s and has a pressure of 0.1 MPa. How fast does the water flow in the narrowed part of the tube if its pressure is 0.09 MPa? - Traveling 82597
What constant braking force is required to stop a car weighing 1 ton in 10 seconds traveling at 50 km/h? - Acceleration 82397
The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration. - Meridian ground speed
The plane flies south at an average speed of 190 km/h, and the wind blows from west to east at a speed of 20 m/s. How fast and in what direction (relative to the meridian) will the plane move relative to the ground? - Accelerates 82218
The object has a speed of 25m/s and accelerates 5.0m/s² for 250 meters. What is the final velocity? - Calculate 82037
They will calculate the volume of a body that stretches the force gauge in the air with a force of 80N. After immersion in glycerol with a density of 12 kg. m-3 is a load cell stretched by a force of 30N. - Perpendicularly 81951
A body of mass 4g is shot perpendicularly from the ground and lands in 8s. What is its kinetic energy at the beginning of its trajectory, what speed does it take off, and where does the distance from the ground stop? Thank you - Inelastic/plastic 81907
Two inelastic/plastic balls move towards each other with equal velocities of 2 m/s. The weight of one ball is 3kg, the other 1kg. Determine the speed of the balls after the collision and the loss of kinetic energy. - Revolutions 81906
How much energy was supplied by the flywheel of the device if its number of revolutions decreased from 1200 to 720 revolutions per minute if it has a moment of inertia of 71.3 kg/m²? - Submerged 81714
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th
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