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anonymous

  • one year ago

Jimmy hits a baseball so that it travels at a speed of 110 ft/sec and at an angle of 35 degrees with the horizontal. Assume his bat contacts the ball at a height of 3.5 ft above the ground. Write a pair of parametric equations to simulate the path of the ball. -What is a parametric equation? -I know I need to draw a triangle, but where do I go from there? What does the speed mean?

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  1. anonymous
    • one year ago
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    Parametric equation give x and y as functions of a third variable called the parameter (usually t). Once you draw the triangle, resolve the speed into vertical and horizontal vectors.

  2. anonymous
    • one year ago
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    The horizontal speed is constant at 110 cos 35°, so the horizontal path follows x = (110 cos 35°)t, where t = time.

  3. anonymous
    • one year ago
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    How do you know it's a cosine function?

  4. anonymous
    • one year ago
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    from the triangle|dw:1433813593966:dw|

  5. anonymous
    • one year ago
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    Vx = 110 cos 35° Vy = 110 sin 35°

  6. anonymous
    • one year ago
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    Oh, ok! That makes a lot more sense, thank you

  7. anonymous
    • one year ago
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    The vertical speed changes due to gravity, so use the physics/kinematics equation to model the distance. \[y=-\frac{ 1 }{ 2 }at^2+v _{0}t+ y _{0}\] a = 32, v0 = 110 sin 35° y0 = 3.5

  8. anonymous
    • one year ago
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    Alrighty, that sounds good. Thank you so much!

  9. anonymous
    • one year ago
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    you're welcome

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