# Velocity + fundamentals of Physics - math problems

#### Number of problems found: 133

• The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second part of the journey.
• The train
The train starts for 2 min with an acceleration of 25 cm/s2. What speed will he gain in this time and what path will he pass?
• Change per hour
On Sunday, the temperature was 63 degrees at 2 pm. The temperature was then 72 degrees at 5 pm. What is the rate of change per hour?
• The cyclist
The cyclist reaches a speed of 32 km/h in 3.4 seconds. What is its acceleration in m/s2?
• The projectile
The projectile leaves the 10 m long barrel at an instantaneous speed of 500 m/s. What is the acceleration of the movement of the projectile in the barrel and in what time will the projectile pass the barrel if, we assume that the movement was evenly accel
• The car
The car has a consumption of 5 liters per 100 km. It has 24 liters of gasoline in the tank. How much petrol remained in the tank when it rides for two and a half hours at a speed of 80 km/h?
• Day trip
A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at
• The temperature 13
The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C?
• Two cars
Two cars (trucks and passenger) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the s
• The car
The car weight 1280 kg, increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert?
• Free fall
The elevator car weighing 720 kg is torn off at a height of 125 m and begins to fall in a free fall. How much kinetic energy does the elevator car have when it hits the ground floor of the building, when the free fall of the car lasted 5 s?
• Free fall 5
Jeremy accidently dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. The toy hit the ground at a velocity of 16.0 meters/second. At impact, it took 2.0 seconds for the toy’s velocity to reach 0 meters/second. If the toy
• Free fall
For how long and at what speed does the body fall to the ground during a free fall from a height of 35 m?
• Rotary motion
Find the orbital time, rotational frequency, and angular rate of the second and minute hands on the watch.
• Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km?
• Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int
• The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile.
• Up and down motion
We throw the body from a height h = 5 m above the Earth vertically upwards v0 = 10 m/s. How long before we have to let the second body fall freely from the same height to hit the Earth at the same time?
• Deceleration of car
The car has a speed of 60 km/h and after 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
• Harmonic oscillator
Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.

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