The train accelerates at the rate of 20 for some time, until it's just exactly time to put on the brakes, decelerate at the rate of 100, and come to a screeching stop after a total distance of exactly 2.7 km.
The speed it reaches while accelerating is exactly the speed it starts decelerating from.
Speed reached while accelerating = (acceleration-1) (Time-1) = .2 time-1
Speed started from to slow down = (acceleration-2) (Time-2) = 1 time-2
The speeds are equal. .2 time-1 = 1 time-2 time-1 = 5 x time-2
It spends 5 times as long speeding up as it spends slowing down.
The distance it covers speeding up = 1/2 A (5T)-squared = 0.1 x 25 T-squared = 2.5 T-squared.
The distance it covers slowing down = 1/2 A (T-squared) = 0.5 T-squared.
Total distance = 2,700 meters. (2.5 + .5) T-squared = 2,700 T-squared = 2700/3 = 900
T = 30 seconds
The train speeds up for 150 seconds, reaching a speed of 30 meters per sec and covering 2,250 meters. It then slows down for 30 seconds, covering 450 meters.
Total time = 180 sec = 3 minutes, minimum .
Observation: This solution is worth more than 5 points.
This can be done by hit and trial easily.
Considering train accelerate for 13000s and deaccelerate for 1000s so total distance covered is = 20cm/s * 13000s + 100cm/s*100s = (260000 + 10000 )cm = 270000cm = 2.7km
So total time taken is - 13100 seconds
The minimum time for the train to travel 2.7 km is 180 seconds, or 3 minutes. This includes 150 seconds of acceleration and 30 seconds of deceleration. The calculations involve kinematic equations for distance travelled during acceleration and deceleration phases.
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Jawaban:15°C ketika di ketinggian 2.400m.Penjelasan:dik:ketinggian: h1 (ketinggian akhir) 2.400m, h2 (kenaikan ketinggian perskala) 80msuhu: T1 (penurunan suhu setiap naik 80 meter) = 0,50°Cdit: T2? (suhu akhir)jawab:T2=h1/h2.T1 =2.400m/80m.0,50°C =30.0,50°C =15°Cperbedaannnya adalah 19°C dari 34°C-15°C