Mathematics
Grade-11
Easy

Question

Tom wants to prank friend by hitting him with a water balloon on a hot summer day. If the balloon is dropped from the 6th floor of an apartment building that is 70 feet high, after how many seconds will the balloon hit the friend? Assume the friend is 6 feet tail.

  1. 1.52 seconds
  2. 1.61 seconds
  3. 1.41 seconds
  4. None of these

The correct answer is: 1.41 seconds


    The water balloon will be in free fall for 64 feet, which is the height difference between the apartment window and the friend. This gives us an equation of h = -32t2 + 70.
    We want to consider when h = 6.
    6 = -32t2 + 70
    0 = -32t2 + 64
    -64 = -32t2
    2 = t2
    t = plus-or-minus square root of 2
    We reject the negative solution because in this context it makes no sense. The time it takes to hit the friend is square root of 2 almost equal to 1.4141 seconds.

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