A problem by Keshav Agrawal
Level
pending
A spaceship travelling in space at 400km/s fires its engine for 10 s so that its final velocity becomes 600 km/s . Find the total distance travelled by the spaceship in 60 s, starting from the time of firing.
The answer is 35000.
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1 solution
from the time of firing its engine...ie. from increasing its velocity from 400km/s to 600km/s, it undergoes some accerleration, that can be found out from v=u+at.......that comes out to be 20km/s^2........thn for 10s it goes from 400km/s to 600km/s.......that means we can apply s=ut+(at^2)/2 ...this applies only for 10s because velocity gets shoot up only for 10s, after that it becomes constant ie. 600km/s...applying s=ut+(at^2)/2, we get 5000km...then multiplying the reaming 50s with 600km/s gives us 30000km...........so the total distance covered is 35000km