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anonymous

  • 4 years ago

The top of a building in Ottawa is 104m above the ground. Suppose an object was thrown upward with an initial velocity of 19.6m/s from this height. The approximate height of the object above the ground, h metres, t seconds after being thrown, would be given by the function: h=-4.9t^2+19.6t+104 a) what was the maximum height of the object,above the ground? b) after how many seconds did the object reach its maximum height? c) From the time the object was initially thrown, how much did it takes to reach the ground, to the nearest second?

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  1. anonymous
    • 4 years ago
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    Do you just need the answers? If you need the work shown, are you doing differentiation and derivatives to do this or other methods?

  2. anonymous
    • 4 years ago
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    i need the work shown and the ans please.

  3. anonymous
    • 4 years ago
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    and i think were usin the quad formula

  4. anonymous
    • 4 years ago
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    ohh, ok XD

  5. anonymous
    • 4 years ago
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    x-coordinate of the Vertex or the maximum height is found using this equation: -b/2a a=-4.9 b=19.6 -19.6/(2(-4.9)) =-19.6/-9.8 =2 x=2 for vertex Plug it back in to figure out the y-coordinate

  6. anonymous
    • 4 years ago
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    or t=2 in this case XD

  7. anonymous
    • 4 years ago
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    h=-4.9(2)^2+19.6(2)+104 =-19.6+39.2+104 =123.6 (2, 123.6)

  8. anonymous
    • 4 years ago
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    SO, the height is 123.6 and the time it took to get there is 2 seconds.

  9. anonymous
    • 4 years ago
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    that's the answer for the first two questions

  10. anonymous
    • 4 years ago
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    thanks :) - from charmi too

  11. anonymous
    • 4 years ago
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    welcome, now, for the third question right?

  12. anonymous
    • 4 years ago
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    but like we learned in school , that the "b" value is the maximum height thats the part we dont get :S

  13. anonymous
    • 4 years ago
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    just a sec

  14. anonymous
    • 4 years ago
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    I don't think that's right. The only way that would be true is if the coefficient of x^2 was 1/2.

  15. anonymous
    • 4 years ago
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    ohh, so like the question isnt right? for part (c) ?

  16. anonymous
    • 4 years ago
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    ?? In question C, you just need to let h=0

  17. anonymous
    • 4 years ago
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    ohh ok thanks :)

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