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20 April, 16:13

If a space ship is traveling with a constant acceleration of 75 m/s^2 and travels for three weeks, how far did it travel and what was it's velocity before it stopped?

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  1. 20 April, 16:37
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    The final velocity of the ship is, v = 136050000 m/s

    The total distance covered, s = 6.94 x 10¹⁷ m

    Explanation:

    Given data,

    The constant acceleration of the space ship, a = 75 m/s²

    The time period of the space ship acceleration is t = 3 weeks

    t = 1.814 x 10⁶ s

    The initial velocity of the ship is u = 0 m/s

    The final velocity of the ship is,

    v = u + at

    = 0 + 75 (1.814 x 10⁶)

    = 136050000 m/s

    The distance space ship traveled, can be calculated from the second equation of motion.

    s = ut + ½ at²

    = 0 + ½ 75 (136050000) ²

    = 6.94 x 10¹⁷ m

    Hence, the total distance covered, s = 6.94 x 10¹⁷ m
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