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kirill [66]
3 years ago
10

The trajectory of a golf ball hit from a tee on the ground at an angle of 40 degrees with an initial

Mathematics
1 answer:
Finger [1]3 years ago
8 0

Answer:

  • 53.45 m
  • 254.55 m

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = 0.84x - 0.0033x²

<u>Rewrite in the standard form:</u>

  • f(x) = - 0.0033x² + 0.84x

<u>The maximum height is the vertex with x- coordinate -b/2a, which is:</u>

  • x = -0.84/2(-0.0033) ≈ 127.27

<u>The highest point is:</u>

  • f(127.27) = -0.0033(127.27)² + 0.84(127.27) ≈ 53.45 m

<u>The horizontal distance the golf ball travels before hitting the ground:</u>

  • f(x) = 0
  • - 0.0033x² + 0.84x = 0
  • 33x² - 8400x = 0
  • x(33x - 8400) = 0
  • x = 0- initial point
  • 33x = 8400 ⇒ x = 8400/33 ≈ 254.55 m
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Elena-2011 [213]

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

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I hope this helps you



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