Asked by Sam
A rocket (stating from rest) travels upwards for 3 minutes at a constant acceleration of 16 m/s^2, and then coasts upwards until it reaches its maximum height. What it the rocket's maximum height?
Answers
Answered by
bobpursley
how high does it go the first three min? What is it final velocity at the end of three min.
Then, from that height, start a free fall problem, given initial veloicty, how much higher will ti go.
Add the two heights.
Then, from that height, start a free fall problem, given initial veloicty, how much higher will ti go.
Add the two heights.
Answered by
Sam
I did this and found the answer to be 364,995.92 meters but I'm not sure that it is correct.
Answered by
Sam
Anyone know if the answer I came up with is correct?
Answered by
drwls
After 180 seconds it has risen
(1/2)*16*(180)^2 = 259,900 m and the velocity is 16*180 = 2880 m/s. The additional height that it rises while decelerating at rate -g for 2880/9.8 = 293.9 s is 423,184 s.
The sum of the two distances does not agree with your answer.
(1/2)*16*(180)^2 = 259,900 m and the velocity is 16*180 = 2880 m/s. The additional height that it rises while decelerating at rate -g for 2880/9.8 = 293.9 s is 423,184 s.
The sum of the two distances does not agree with your answer.
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