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A rocket is stopped 34 feet from a satellite when it begins accelerating away from the satellite at a constant rate of 18 feet per second per second. The distance between the rocket and the satellite is given by the polynomial P(t) = 9t2 + 34. Find the distance between the rocket and the satellite 10 seconds after the rocket started moving.

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Answer:

The distance between the rocket and the satellite 10 seconds after the rocket started moving is of 934 feet.

Explanation:

The distance between the rocket and the satellite, in feet, after t seconds, is given by the following equation:


P(t) = 9t^(2) + 34

Find the distance between the rocket and the satellite 10 seconds after the rocket started moving.

This is P(10).


P(t) = 9t^(2) + 34


P(10) = 9*(10)^(2) + 34 = 934

The distance between the rocket and the satellite 10 seconds after the rocket started moving is of 934 feet.

User Sudhir Arya
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