Acceleration - examples
- Reconstruction of the corridor
Calculate how many minutes will be reduced to travel 192 km long railway corridor, where the maximum speed increases from 120 km/h to 160 km/h. Calculate how many minutes will shorten travel time, if we consider that the train must stop at 6 stations, eac
- Free fall
Stephen fall from height 5 m. Calculate the speed he hit the ground when falling with acceleration g = 9.81 m/s2
- Sea on the Moon
Assume that the Moon has sea, the same composition as on the Earth (has same density of salt water). Calculate dive of boat floating in the sea on the Moon, when on Earth has dive 4.9 m. Consider that the Moon has 6.5-times smaller gravitational accelerati
The train is running at speeds of 84 km/h. From the beginning of braking to full stop train run for 3.4 minutes. If the train slows the braking equally, calculate the distance of the place from the station where you need to start to brake.
The body was thrown vertically upward at speed v0 = 46 m/s. Body height versus time describe equation ?. What is the maximum height body reach?
Subway train went between two stations that gradually accelerated for 20 seconds and reached a speed of 80 km/h. At this rate, went 41 seconds. Then 17 seconds slowed to a stop. What was the distance between the stations?
- Circular motion
Mass point moves moves uniformly in a circle with radius r = 3.2 m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and the centripetal acceleration of this movement.
Stone was pushed into the abyss: 7 seconds after we heard hitting the bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s2 and the speed of sound in air v = 337 m/s)
Calculate how many g's (gravity accelerations) feel glider pilot when turning the horizontal circles of radius 250 m flying at 102 km/h. Centripetal acceleration is proportional to the square of the speed and inversely proportional to the radius of rotatio
The aircraft flies at an altitude of 8100 m above the ground at speed 992 km/h. At what horizontal distance from the point B should be release any body from the aircraft body to fall into point B? (g = 9.81 m/s2)
- Train 2
The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel?
- Inclined plane
On the inclined plane with an angle of inclination of 30 ° we will put body (fixed point) with mass 6 kg. Determine the acceleration of the body motion on an inclined plane.
Ball was fired at an angle of 33° at initial velocity 419 m/s. Determine the length of the litter. (g = 9.81 m/s2).
At what horizontal distance reaches the car weight m = 864 kg speed v = 72 km/h when the car engine develops a tensile force F = 2313 N. (Neglect resistance of the environment.)
The car accelerates at rate 0.5m/s2. How long travels 400 meters and what will be its speed?
Shot with a mass 21 g flying at 508 m/s penetrates into the wood to a depth 19 cm. What is the average force of resistance of wood?
- G forces
Calculate deceleration of car (as multiple of gravitational acceleration g = 9.81 m/s2) which occurs when a car in a frontal collision slows down uniformly from a speed 126 km/h to 0 km/h in 1.4 meters trajectory.
Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
- Traffic collision
When investigating a traffic accident, it was found that the driver stopped the vehicle immediately after the accident by constant braking on a 150 m track in 15 seconds. Do you approve that the driver exceeded the permitted speed (50 km/h) in the village.
- The tram
The tram is moving with acceleration a = 0.3m/s2. How long it will pass the first meter of track? How long does it take 10 meters. What is its speed at the end of the 10 meters track?