Time + 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
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)
- Train 2
The train slowed down from 90 km/h to 72 km/h in 5 seconds. How long track travel?
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)
The car accelerates at rate 0.5m/s2. How long travels 400 meters and what will be its speed?
- 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.
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.
- 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.
- Acceleration 2
if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem
- 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?
- Free fall
How long does the stone fall freely into a depth of 80m? What speed will it hit the bottom of the abyss?