The first state of amultistage rocket boosts the rocket to a speed of 0.1 relative to the ground before being jettisoned. The next stage boosts the rocket to a speed of 0.1 relative to the final speed of the first stage, and so on. How many stages does it take to boost the payload to a speed in excess of 0.95 relative to the ground?

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The first state of amultistage rocket boosts the rocket to a speed of 0.1 relative to the ground before
being jettisoned. The next stage boosts the rocket to a speed of 0.1 relative to the final speed of the
first stage, and so on. How many stages does it take to boost the payload to a speed in excess of
0.95 relative to the ground?
Transcribed Image Text:The first state of amultistage rocket boosts the rocket to a speed of 0.1 relative to the ground before being jettisoned. The next stage boosts the rocket to a speed of 0.1 relative to the final speed of the first stage, and so on. How many stages does it take to boost the payload to a speed in excess of 0.95 relative to the ground?
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