Calculus

If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 112 ft/sec, its height after t seconds is s(t)=32+112t–16t2 . What is the maximum height the ball reaches?What is the velocity of the ball when it hits the ground (height 0 )?

  1. 👍
  2. 👎
  3. 👁
  1. v(t) = s'(t) = 112 - 32t
    at max v = 0
    32t = 112
    t = 3.5
    then s(3.5) = ......

    when it hits the ground, s(t) = 0
    16t^2 - 112t - 32 = 0
    t^2 - 7t - 2 = 0
    solve using the quadratic formula,
    sub the positive answer into v(t)

    1. 👍
    2. 👎
  2. Hi I have the same question. The first part is correct to find the maximum height, but while solving for the quadratic formula to find the velocity when it hits the ground, the answer is incorrect. (You would get 7.2749 and -0.27492 after solving the quadratic)

    1. 👍
    2. 👎
  3. Nevermind! I figured out you're supposed the plug the positive value into the derivative v'(t).

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the ground h(t) of an object thrown vertically from a height of h0 feet, with an initial velocity of v0 feet per second, if there is no air friction and t is the

  2. science

    a ball is thrown straight upward and returns to the thrower's hand after 3.00s in the air. A second ball is thrown at an angle of 30.0 deg with the horizontal. At what speed must the second ball be thrown so that it reached the

  3. Math

    An object is propelled vertically upward from the top of a 144-foot building. The quadratic function s(t)= -16t2+192+144 models the ball's height above the ground, in feet, s(t) seconds after it was thrown. How many seconds does

  4. physics

    A ball thrown horizontally at 13.0m/s from the roof of a building lands 21.4m from the base of the building. How tall is the building?

  1. physics

    A rock is thrown vertically upward with a speed of 14.0 m/s from the roof of a building that is 50.0 m above the ground. Assume free fall. In how many seconds after being thrown does the rock strike the ground? in s What is the

  2. Math

    A ball is thrown downward from the top of a 100-foot building with an initial velocity of 14 feet per second. The height of the ball h after t seconds is given by the equation h=-16t^2-14t+100. How long after the ball is thrown

  3. math-urgent

    A ball with a mass 0.15kg is thrown upward with an initial velocity 20m/s from the roof of a building 30m high. Neglect air resistance. Find the max height above the ground that the ball reaches. Assuming the ball misses the

  4. Physics

    A rock is thrown directly upward from the edge of the roof of a building that is 40.2 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any

  1. Physics

    A ball is thrown horizontally at 12.2 m/s from the roof of a building and lands 21.0 m from the base of the building. How high is the building?

  2. Math

    A person standing close to the edge on the top of a 160-foot building throws a baseball vertically upward. The quadratic function s(t) = -16t^2 +64t + 160 models the ball's height above the ground, s(t), in feet, t seconds after

  3. Science physics

    A boy stands on the roof of a 50m tall building and thrown a ball horizontslly at 20m/s away from the building. How far away from the foot of the building will the ball land?

  4. physics

    two students are on a balcony 20.6 m above the street. One student throws a ball vertically downward at 14.7 m/s. At the same instant, the other student throws a ball vertically upward at the same speed. The second ball just

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