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16 September, 03:18

At what projection angle will the range of a projectile equal to 6 times its maximum height?

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Answers (2)
  1. 16 September, 04:46
    0
    The formula for maximum height is:

    H = v²sin²θ/2g

    The formula for range is:

    R = v²sin (2θ) / g

    The relationship between the two is written as:

    R = 6H

    v²sin (2θ) / g = 6 (v²sin²θ/2g)

    v²sin (2θ) / g = 3v²sin²θ/g)

    Cancelling out like terms,

    sin (2θ) = 3sin²θ

    Solving for θ using a scientific calculator,

    θ = 33.7°
  2. 16 September, 06:09
    0
    I not sure but it might be 60 kilogrames
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