PHYSICS

A batter hits a fly ball which leaves the bat 0.90 m above the ground at an angle of 61 degrees with an initial speed of 28 m/s heading towards center field. Ignore air resistance. (a) How far from the home plate would the ball land if not caught? (b) The ball is caught by the centerfielder who, starting at a distance of 105m from the home plate, runs straight towards home plate at a constant speed and makes the catch at ground level. What was his speed?

  1. 👍 0
  2. 👎 0
  3. 👁 733
  1. divide into vertical and horizontal problems
    Vertical problem:
    initial vertical speed = Vi = 28 sin 61
    calculate Vi = 24.5 m/s
    Now
    v = Vi - 9.81 t
    h = Hi + Vi t - 4.9 t^2 where Hi is initial height of 0.90 meter
    h = 0 at ground
    so
    4.9 t^2 - Vi t - 0.90= 0
    4.9 t^2 - 24.5 t - 0.90 = 0
    solve quadratic
    https://www.mathsisfun.com/quadratic-equation-solver.html
    t = 5.04 seconds to hit ground
    Now horizontal problem
    u = 28 cos 61
    distance = (28 cos 61) * 5.04

    fielder goes (105 - distance)meters in 5.04 seconds

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    ) A batter hits a baseball so that it leaves the bat at speed Vo = 37.0m/s at an angle ao = 53.1°, at a location where g = 9.80 m/S2. (a) Find the position of the ball, and the magnitude and direction of its velocity, at t = 2.00

  2. Physics

    Baseball player A bunts the ball by hitting it in such a way that it acquires an initial velocity of 1.3 m/s parallel to the ground. Upon contact with the bat, the ball is 1 m above the ground. Payer B wishes to duplicate this

  3. Physics

    Now assume that the pitcher in Part D throws a 0.145-kg baseball parallel to the ground with a speed of 32 m/s in the +x direction. The batter then hits the ball so it goes directly back to the pitcher along the same straight

  4. physics

    In college softball, the distance from the pitcher's mound to the batter is 43 feet.If the ball leaves the bat at 110 mph, how much time elapses between the hit and the ball reaching the pitcher?

  1. physics

    A child throws a ball with an initial speed of 8 m/s at an angle of 40 degrees above the horizontal. The ball leaves her hand 1 m above the ground. How long is the ball in flight before it hits the ground? What is the magnitude of

  2. physics

    In college softball, the distance from the pitcher's mound to the batter is 43 feet. If the ball leaves the bat at 90 , how much time elapses between the hit and the ball reaching the pitcher?

  3. Physics

    During a baseball game, a batter hits a high pop up. If the ball remains in the air for 4.16 S, how high above the point where it hits the bat does it rise? Assume when it hits the ground it hits at exactly the level of the bat.

  4. Mechanical Behavior of Materials

    The television coverage of the World Series showed several remarkable slow-motion views of the deflection of the bat as it hit the ball. Major league wood baseball bats are made of ash. A typical major league bat has a length of

  1. Mechanical behavior

    The television coverage of the World Series showed several remarkable slow-motion views of the deflection of the bat as it hit the ball. Major league wood baseball bats are made of ash. A typical major league bat has a length of

  2. physics

    A baseball leaves the bat with a speed of 44.0 m/s and an angle of 30.0 above the horizontal. A 10.0-m-high fence is located at a horizontal distance of 132 m from the point where the ball is struck. Assuming the ball leaves

  3. Mechanical Behavior on Materials / math

    The television coverage of the World Series showed several remarkable slow-motion views of the deflection of the bat as it hit the ball. Major league wood baseball bats are made of ash. A typical major league bat has a length of

  4. physics

    A ballplayer standing at homeplate hits a baseball that is caught by another player at the same height above the ground from which it was hit. The ball is hit with an initial velocity of 23.0 m/s at an angle of 58.0° above the

You can view more similar questions or ask a new question.