algebra

A baseball player releases a baseball at the height of 7 feet above the ground with an initial vertical velocity of 54 feet per second. How long will it take the ball to reach the ground?

  1. 👍 0
  2. 👎 0
  3. 👁 363
  1. Vf^2 = Vo^2 + 2gd,
    d = (Vf^2 - Vo^2) / 2g,
    d = 7 + (0 - (54)^2) / -64 = 52.56 Ft.
    = Distance above ground.

    Vf = Vo + gt,
    t(up) = (Vf - Vo) / g,
    t(up) = (0 - 54) / -32 = 1.69s.

    d = Vo*t + 0.5gt^2 = 52.56 Ft.
    0 + 0.5*32t = 52.56,
    16t = 52.56,
    t(down) = 3.29s.

    T = t(up) + t(down) = 1.69 + 3.29 = 4.98s = Time to reach ground.

    1. 👍 0
    2. 👎 0
  2. Correction:
    0 + 0.5*32t^2 = 52.56,
    16t^2 = 52.56,
    t^2 = 3.29,
    t(down) = 1.81s.

    T = t(up) + t(down) = 1.69 + 1.81 = 3.50s. = Time to reach ground.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Alg 1 quadratic functions

    A baseball player hits a baseball into the outfield. The equation h= -0.005x^2 +x+3 give the path of the ball, where (h) is the height and (x) is the horizontal distance the ball travels. A. What is the equation of the axis of

    asked by Cole on October 20, 2011
  2. math

    A certain baseball hit straight up in the air, is at height represented by: h(t) = 4 + 50t – 16t2 , where t is time in seconds after being hit and h(t) is in feet. The function is valid for t > 0, until the ball hits the ground.

    asked by hesse on June 16, 2016
  3. Algebra 2

    A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by a quadratic function h(t) = −5t^2 + 10t + 1. What is the maximum

    asked by Alex on May 1, 2012
  4. Pre-Cal

    A baseball player throws baseball at a velocity 139ft per second at an angle of 20 degrees. The ball leaves the players hand at a height of 5 feet. The path of the ball has a parametric equation x=v(o)t cos(o) and

    asked by Carlos Garcia on April 20, 2016
  5. physics

    A friend throws a baseball horizontally. He releases it at a height of 2.0 m and it lands 21 m from his front foot, which is directly below the point at which he released the baseball. (a) How long was it in the air? (b) How fast

    asked by molly schwalje on December 15, 2010
  1. math

    A baseball is thrown up in the air from a height of 3 feet with an initial velocity of 23 feet per second. When does the baseball hit the ground?

    asked by Anonymous on April 28, 2019
  2. algebra

    BASEBALL The equation h = –0.005x2 + x + 3 describes the path of a baseball hit into the outfield, where h is the height and x is the horizontal distance the ball travels. a. What is the equation of the axis of symmetry? b. What

    asked by Sally on February 26, 2016
  3. Physics

    A 96.3-kg baseball player slides into second base. The coefficient of kinetic friction between the player and the ground is μk = 0.619. (a) What is the magnitude of the frictional force? (b) If the player comes to rest after 1.00

    asked by Jamie on August 15, 2015
  4. 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

    asked by Luna on November 6, 2014
  5. Physics

    Every once in a while a bird will get hit by a baseball during a baseball game. The longest home runs in baseball land about 500 feet (which is 152.4 meters) from home plate. If these balls leave the bat at a 45 degree angle to

    asked by Dan on March 27, 2013

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