Acceleration - math word problems - page 10 of 14

Number of problems found: 269

Gravitation
From the top of the 80 m high tower, the body is thrown horizontally with an initial speed of 15 m/s. At what time and at what distance from the foot of the tower does the body hit the horizontal surface of the Earth? (use g = 10 m/s²)
Collision of a Ball with a Cart
A cart filled with sand has a mass of m₁ = 100 kg and moves in a straight line on a horizontal surface at a constant velocity of v₁ = 1 m/s. Coming from the opposite direction, a ball of mass m₂ = 2 kg flies at v₂ = 70 m/s, strikes the cart, and embeds it
Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (t²+ 2t + 1 ; 2t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the positio
Position vector
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (1 + 5t + 2t² ; 3t + 1), where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the posit
Vectors 5
The position vector of a material point moving in a plane can be expressed in the introduced reference frame by the relation: r(t) = (2t + 3t²; 6t + 3), where t is time in seconds and the coordinates of the vector are in metres. Calculate: a) what is the
Position vector of a point mass
The position vector of a point mass moving in a plane can be expressed in the established reference frame by the relation: r(t) = (6t²+ 4t ; 3t + 1) where t is time in seconds and the vector coordinates are in meters. Calculate: a) What is the position of
Rocket start
A body launched vertically upward returns to its starting point after 6 seconds. What maximum height did it reach?
Secret Society Gender Ratio
There are eight boys and twelve girls in the secret society. How many boys must they accept so that the ratio of boys to girls is 3:4
Under the sea
In Jules Verne's famous novel "Twenty Thousand Leagues Under the Sea", three heroes – professor Aronnax with his servant Conseil and the harpooner Ned Land – experience a journey by submarine Nautilus under the command of captain Nemo. Suppose that the av
Push-up work calculation
Zdenek, weighing 54 kg, made 15 push-ups on the crossbar. The height he reached was about 40 cm. What kind of work did he do? What would have been his performance if the whole exercise had taken him a minute and a half?
Pupils
There are 350 girls in the school, and the other 30% of the total number of pupils are boys. How many pupils does the school have?
Aircraft Carrier Acceleration
The runway of the aircraft on the mother ship is 49 m long. Calculate the aircraft's acceleration so that its speed when leaving the ejection device reaches 252 km/h.
Orlík hydroelectric plant
The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m³/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p
Motorcyclist and cyclist
At noon, a cyclist left Šumperk for Olomouc at a 20 km/h speed. Thirty minutes later, a motorcyclist drove up behind him at 60 km/h. At what distance and at what time did the motorcyclist overtake the cyclist?
Opening of a safe
How great a force would need to be exerted to open the rectangular door of a water-tight safe with dimensions 30 cm x 20 cm, built into the wall of a cabin of the sunken Titanic, which has been lying for more than 105 years on the bottom of the Atlantic O
A car
A car weighing 1.05 tonnes, travelling at the maximum speed limit in a village (50 km/h), crashes into a solid concrete barrier. Calculate the height from which the car would have to fall onto a concrete surface to produce the same impact force as in the
Free fall
The free fall body has gone 10 m in the last 0.5 s. Find the body speed at the moment of impact.
Uniform Acceleration Initial Speed
The body went through a uniformly accelerated path of 30 m in 10 seconds while its speed increased five times. Find the initial speed and acceleration.
Runner acceleration speed
The runner ran the track 100 m in 10.2 seconds. He ran the first 20 m with a uniformly accelerated movement. Then he ran evenly. What was its acceleration on the 20 m section, and what was its maximum speed?
Acceleration of a train
The train passes 700 m, braking with an acceleration of -0.15 m/s². How long does it break, and what is the final speed of the train if the initial was 55 km/h?

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