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?

Answer 1

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.

Answer 2

I did this and found the answer to be 364,995.92 meters but I'm not sure that it is correct.

Answer 3

Anyone know if the answer I came up with is correct?

Answer 4

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.