Physics

posted by .

A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was initially launched from an elevation of 4 feet above ground. The distance from home plate to the outfield wall is 408 feet at center field. The height of the outfield wall is approximately 8 feet (It varies slightly across the outfield). You should first draw a two-dimensional picture of the baseball’s trajectory (x, y coordinate system) to assist in developing answers to the questions below. (a)a. Assuming no wind resistance, would the baseball go over outfield the wall for a home run? Would it land short of the wall? Would it hit the wall? Note: You must first convert all distances (in feet) from the British system into the metric system (in meters).

  • Physics -

    Vo = 110mi/h * 1600m/mi * 1h/3600s = 48.89m/s[35o]. = Initial velocity.
    Xo = 48.89*Cos35 = 40.0 m/s. = Hor.
    Yo = 48.89*sin35 = 28.0 m/s. = Ver.

    4ft * 1m/3.3ft = 1.21 m.
    8ft = 2.42 m.
    408ft * 1m/3.3ft = 123.6 m.

    Y = Yo + g+Tr = 0.
    28 - 9.8Tr = 0
    Tr = 2.86 s. = Rise time or time to reach max ht.

    hmax = ho + Yo*Tr + 0.5g*(Tr)^2.
    hmax = 1.21 + 28*2.86 - 4.9*(2.86)^2 = 41.2 m. = Max ht.

    d = 0.5g*(Tf)^2 = 41.2-2.42.
    4.9(Tf)^2 = 38.79
    Tf = 2.81 s. = Fall time from max ht. to top of fence.

    Range = Xo*(Tr+Tf) = 40*(2.86+2.81) = 218.8 m.

    The range is greater than the distance from home plate to the center field wall(123.6m). Therefore, it's a home run!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. English

    I seen the help you gave other people and was wondering if you could help me idenify 5 adjectives and adverbs in my paragraph. St. Louis is considered to be Cardinals Nation. The St. Louis Cardinals are a professional baseball team …
  2. physics

    A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity?
  3. physics

    A baseball player hits the ball at a speed of 20.1 m/s and an angle of 30 degrees. What is the baseball's horizontal velocity?
  4. physics

    Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of è = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall …
  5. physics

    Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of è = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall …
  6. Physics

    Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of θ = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall …
  7. Algebra

    A baseball is hit at a point 2 feet above the ground at a velocity of 100 feet per second and at an angle of 45 degrees with respect to the ground. The path of the baseball is given by the function: f(x)= -0.0032x^2+x+2. where f(x) …
  8. Math

    Convert each statement below into symbolic form and generate its truth table: If the New York Yankees win the world series or the New York Jets win the super bowl then New York fans will be overjoyed and dance in the streets. Y: The …
  9. Physics

    A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was …
  10. Physics

    A baseball is hit by Aaron Judge, a New York Yankees baseball team member, at an amazing velocity of 110 miles/hour at an angle of 35 degrees from the horizontal from home plate in Yankee Stadium in New York City. The baseball was …

More Similar Questions