Acceleration - math word problems - page 12 of 13
Number of problems found: 252
- Acceleration 3503
What speed was the car moving until the driver started braking when it moved with a constant acceleration a = -1.2m/s² during braking until it stopped, traveling a distance of 135m?
- Exceeding 3497
The maximum allowed speed in the village is 50km/h. The police measured that the car crossed the 800 m long section in 40 seconds. Was the driver fined for exceeding the speed limit?
- Vertically 3237
A 100 g body is ejected vertically upwards from the surface of the Earth at an initial speed of 30 m/s. Determine the height at which the body rises and its potential energy at the path's highest point.
- Class
In the 7C class, there are ten girls and 20 boys. Yesterday was missing 20% of girls and 50% of boys. What percentage of students are missing?
- Atmospheric 2901
The measured value of atmospheric pressure is 96,000 Pa. We want to verify this value with a closed tube at one end. Before measuring, fill the tube with glycerol (density of glycerol ρ = 1200 kg/m3). How long does the tube have to be?
- Groschens
The young journeyman bought a cloak, hat, and galoshes. He paid 200 grosz for everything. A cloak costs 90 groschen, more than a hat, and a hat with a cape costs 160 groschen, more than a galoshes. How much groschen did the cloak cost, and how many hats a
- Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.
- Divide money
Divide 1200 USD at a ratio of 1:2:3:4:5:6:9:10
- two spacecraft
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than
- Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis.
- Train slowing down
The train slowed down from 90 km/h to 72 km/h in 5 seconds. What distance did it go?
- Acceleration
The car accelerates at a rate of 0.5 m/s². How long does it travel 400 meters, and what will is its speed?
- Gravitational 2137
The whale, weighing 8 tons, was thrown aground by the sea. The whale is approximately 20 m long and 2 m wide. Estimate the pressure under the belly of a whale. Consider a value of the gravitational acceleration of 10 N/kg.
- Annual income
The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
- G forces
Calculate car deceleration (as a multiple of gravitational acceleration g = 9.81 m/s²) when a vehicle in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in a 1.2 meters trajectory.
- Abyss
The stone fell into the abyss: 11 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 336 m/s)
- Shot
Shot with a mass 39 g flying at 427 m/s penetrates into the wood to a depth 21 cm. What is the average force of resistance of wood?
- Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement.
- Car
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
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