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Calculus Question help...?

So this is for my assignment, I've done all of it, except this one question that I'm absolutely stumped on.

A stone is dropped from the upper observation deck of a tower, 50 m above the ground. (Assume g = 9.8 m/s^2.)

(a) Find the distance (in meters) of the stone above ground level at time t.

Answer: -4.9t^2 +50

(b) and (c) dont matter and I have done those as well, I'm just confused about part (d)

(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

1 Answer

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  • ted s
    Lv 7
    8 years ago
    Favorite Answer

    but it follows from (a) if you worked that one and did not use a formula

    d²h / dt² = - 9.8 ---> d h / dt = - 9.8 t + C , where C = - 8--->

    h = - 4.9 t² - 8 t + K , where K = 50...find t if h = 0

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