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anonymous

  • one year ago

The height h in feet of a baseball on Earth after t seconds can be modeled by the function h(t) = -16(t – 1.5)2 + 36, where -16 is a constant in ft/s2 due to Earth's gravity. The gravity on Mars is only 0.38 times that on Earth. If the same baseball were thrown on Mars, it would reach a maximum height 59 feet higher and 2.5 seconds later than on Earth. Write a height function for the baseball thrown on Mars.

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  1. Zale101
    • one year ago
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    Label earth's gravity, height, and time based on the given equation \(h(t) = -16(t – 1.5)^2 + 36\)

  2. Zale101
    • one year ago
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    What is -16 ? they've already told you is a constant in ft/s2 due to Earth's gravity. That means, -16 ft/s^2 is the gravity

  3. Zale101
    • one year ago
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    First, let's look closely on what the graph supposed to represent. h(t) = -16(t – 1.5)2 + 36 f(t)=a(x-h)^2+k (h,k) is the vertex We know from an upside down parabola, the vertex is at the maximum height. h (x axis) represent the time in which the objects change Height on k ( y-axis) |dw:1438117704283:dw|

  4. Zale101
    • one year ago
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    Clear @glosan1010 ?

  5. Zale101
    • one year ago
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    f(x)=a(x-h)^2+k Gravity represents a time represents h height represents k The projectile motion on earth is h(t) = -16(t – 1.5)^2 + 36 Gravity is...? Time is...? and Height is...?

  6. Zale101
    • one year ago
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    If you know your gravity, time, and height, you can easily use the earth's projectile motion equation and convert it to the projectile motion on mars.

  7. anonymous
    • one year ago
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    yes thank you @Zale101

  8. Zale101
    • one year ago
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    No problem.

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