physics

A ball is tossed vertically upward with an initial speed of 18.2 m/s. How long does it take before the ball is back on the ground? (Assume the ball is tossed upward from the ground.)

  1. 👍
  2. 👎
  3. 👁
  1. let g = 9.8 m/s^2

    v = Vi - g t
    0 at top
    9.8 t = 18.2
    t = 1.86 seconds upward
    by symmetry, 1.86 seconds downward
    t total = 3.72 s

    1. 👍
    2. 👎
  2. Oh, you are doing calculus
    a = -9.8
    then
    v = -9.8 t + constant
    at t = 0, v = 18.2
    so
    v = 18.2 - 9.8 t
    now height h
    h = -(9.8/2)t^2 + 18.2 t + constant
    at t = 0, h = 0
    h = -4.9 t^2 + 18.2 t
    when is h = 0?
    t = 0 (of course)
    and
    t = 18.2/4.9 = 3.71 s close enough :)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A red ball is thrown down with an initial speed of 1.3 m/s from a height of 28.0 meters above the ground. Then, 0.6 seconds after the red ball is thrown, a blue ball is thrown upward with an initial speed of 24.7 m/s, from a

  2. Physics

    A ball is thrown vertically upward with a speed of 25.0 m/s from a height of 2.0 m. How high does the ball rise? How long does it take to reach its highest point? How long does the ball take to hit the ground after it reaches its

  3. Physics

    A tennis ball is thrown vertically upward with an initial velocity of +8.0 m/s. a. what will the ball's speed be when it returns to its starting point? b. how long will the ball take to reach its starting point?

  4. physics

    A ball is thrown vertically upward with an initial speed of 20 m/s. Two seconds later, a stone is thrown vertically (from the same initial height as the ball) with an initial speed of 24 m/s. At what height above the release point

  1. 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

  2. Calculus 1

    A ball is thrown vertically upward from ground level with initial velocity of 96 feet per second. Assume the acceleration of the ball is a(t) = -32 ft^2 per second. (Neglect air Resistance.) (a) How long will it take the ball to

  3. physical science

    A tennis ball is thrown vertically upward wih an initial velocity of 8.0m/s. A) What will its speed be wheen it returns to its tarting point? B) How long will it take for it to reach its starting poing?

  4. Physics

    From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.00 m/s and angle of 20.0 degrees below the horizontal. It strikes the ground 3.00 s later. (a) If the base of the

  1. Physics

    A ball is thrown vertically upward from the edge of a bridge 26.5 m high with an initial speed of 11.0 m/s. The ball falls all the way down and strikes the water below. Determine the magnitude of the velocity of the stone just

  2. PHYSICS

    The figure shows a ball with mass m = 0.405 kg attached to the end of a thin rod with length L = 0.516 m and negligible mass. The other end of the rod is pivoted so that the ball can move in a vertical circle. The rod is held

  3. Physics

    A 58.7-kg lead ball is dropped from the Leaning Tower of Pisa. The tower is 55.0 m high. A) How far does the ball fall in the first 3.08 seconds of flight? = 46.5 m B) What is the speed of the ball after it has traveled 2.10 m

  4. AP Physics

    A ball of mass 0.1 kg is attached to a rubber band, which we can model as a spring of stiffness 8 N/m. With one end of the rubber band fixed, you throw the ball vertically upward with an initial speed of 14 m/s. At the moment the

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