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Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 decade ago

physics 2 part question?

(Part 1)

A stone falls from rest from the top of a cliff.

A second stone is thrown downward from the

same height 2.4 s later with an initial speed of

47.04 m/s. They hit the ground at the same

time.

The acceleration of gravity is 9.8 m/s^2.

How long does it take the first stone to hit

the ground? Answer in units of s.

(Part 2)

How high is the cliff? Answer in units of m.

4 Answers

Relevance
  • Anonymous
    1 decade ago
    Favorite Answer

    Part 1

    s = ut + (at^2)/2

    s is same for both stones

    but second stone takes 2.4 s less than first

    u (initial speed of second stone) = 47.04

    u first stone = 0

    therefore:

    47.04 t + (9.8 t^2) / 2 = (9.8(t + 2.4)^2) / 2

    Simplifying:

    27.44 t = 19.6

    t = 0.714 s

    Time for first stone = 2.4 + 0.714

    = 3.11 s

    Part 2:

    Height = s = (9.8 (3.11)^2)/2

    = 47.524 m

    = 47.5 m

  • 1 decade ago

    Hans' initial equation looks okay. (t = the time in seconds for the SECOND (thrown) stone to get to the ground.)

    I think the problem is in the simplifying of the eqtn. (That usually is grungy work.)

    I get 1.2 seconds for t. The first stone of course takes 3.6

    seconds. The cliff height becomes 63.5 meters.

  • juart
    Lv 4
    5 years ago

    ok, i think of i will help you with this undertaking. (nonetheless it relatively is basically the 2nd question i've got responded on yahoo). right this is a physics formulation I basically love. Vf^2=Vi^2+2A*D. in actuality, the suitable velocity squared equals the preliminary velocity squared + 2 circumstances acceleration circumstances distance. i might propose changing a million.6 cm to .0016 meters first. fixing for A, we've: Acceleration= (velocity very final^2 minus velocity preliminary^2)/(2*.0016) ^2 potential to sq.,btw. i'm going to permit you paintings that out your self. For area 2, you ought to use the formulation D=(a million/2) A*T^2 seem on the internet website I published under.

  • 1 decade ago

    Part 2.

    2nd stone

    Ek = 0.5mv^2 = 0.5m(47.04^2)

    Ep = mgh = m(9.8)h

    Ep = Ek

    9.8h = 1106.38

    h = 112.89m; height of the cliff

    Part 1

    1st stone

    Ep = Ek

    mgh = 0.5mv2

    m(9.8)(112.89) = 0.5mv^2

    1106.32 = 0.5v^2

    v = 23.52; velocity when hits the ground

    Ek = vt^2 = 23.52t^2

    t = 4.85 seconds.

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