maths lit

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a ball is dropped from a height of 2r1/3 meters. It bounces to 3/4 of the height from which it fell at each boune.
A) determine the height the ball reaches after one bounce.
B) how many bounces does it take to bounce less than 1 meter high??

  • maths lit -

    I assume you mean that each bounce is 3/4 the height of the previous one.

    3/4 * 7/3 = 7/4

    The nth bounce is
    Bn = 28/9 * (3/4)^n

    Bn < 1: n >= 4

  • maths lit -

    28/9

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