Rocket

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warwick

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Joined
Jan 27, 2006
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A rocket is fired vertically and ascends with constant acceleration a = 100 m/s^2 for 1.0 min. At that point, the rocket motor shuts off and the rocket continues upward under the influence of gravity. Find the maximum altitude acquired by the rocket and the total time elapsed from the take-off until the rocket returns to the earth.

My work is attached.

Maximum altitude: 2.016 x 10^6 = x1 + x2

Total time: 1312.72 seconds

http://i111.photobucket.com/albums/n149/camarolt4z28/4.jpg
 
A rocket is fired vertically and ascends with constant acceleration a = 100 m/s^2 for 1.0 min. At that point, the rocket motor shuts off and the rocket continues upward under the influence of gravity. Find the maximum altitude acquired by the rocket and the total time elapsed from the take-off until the rocket returns to the earth.

My work is attached.

Maximum altitude: 2.016 x 10^6 = x1 + x2

Total time: 1312.72 seconds
Click to expand...

Your answers are correct -- but cannot be stated to the level of accuracy that you have presented. You used -9.8 for g in your calculations, which limits you to two significant digits. And, technically, since you wrote "100" without a decimal point, you're limited to one significant digit/figure.
 
wjm11 said:
A rocket is fired vertically and ascends with constant acceleration a = 100 m/s^2 for 1.0 min. At that point, the rocket motor shuts off and the rocket continues upward under the influence of gravity. Find the maximum altitude acquired by the rocket and the total time elapsed from the take-off until the rocket returns to the earth.

My work is attached.

Maximum altitude: 2.016 x 10^6 = x1 + x2

Total time: 1312.72 seconds
Click to expand...

Your answers are correct -- but cannot be stated to the level of accuracy that you have presented. You used -9.8 for g in your calculations, which limits you to two significant digits. And, technically, since you wrote "100" without a decimal point, you're limited to one significant digit/figure.
Click to expand...

Heh. The idea of significant figures never crossed my mind. This was just an assigned problem in my Diff. Eq. book.
 
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