Velocity + square (second power, quadratic) - practice problems
Number of problems found: 78
- 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? - Horizontal 83148
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate. - 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?
- Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Cross-section 82544
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²? - Difference 82461
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =? - Motorcyclist 82445
Motorcyclist Arnošt begins to move on his motorcycle in a uniformly accelerated motion with an acceleration of 1.6 m/s². At what time will it reach a speed of 50 km/h? What distance will it travel at this time? - 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? - Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius? - 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
- Terezka 81571
Miško and Terezka have the same 9 km long journey home from SNP Square. It takes Miško an average of 2/5 hours by tram, and Terezka rides a bicycle at an average 18 km/h speed. Guess who comes home early and how much? - Intersection 81457
Two cars started from the right-angled intersection of two roads. The first at a speed of 80 km/h and the second at a speed of 60 km/h. How fast are they moving away from each other? - Cross-sectional 80979
An undisciplined motorcyclist drove at an unreasonable speed on a mountain road, lost control in a bend, and left the roadway at 90 km/h. He was falling into a gully 36 m deep. Draw a cross-sectional picture of the whole situation. How far did the motorcy - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Mechanical 80527
A stone with a mass of 2 kg falls in free fall from a tower with a height of 80 m. What is its kinetic energy, and what is its potential energy: a) At the beginning of the fall, b) In 1 s from the beginning of the fall, c) Upon impact, d) What is its mech
Do you have homework that you need help solving? Ask a question, and we will try to solve it.
Do you want to convert velocity (speed) units? Velocity - practice problems. Square (second power, quadratic) - practice problems.