Physics

posted by .

A. You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity at an angle θ with respect to the horizontal. Let the building be 50.0 m tall, the initial horizontal velocity be 9.00 m/s, and the initial vertical velocity be 12.0 m/s. Choose your coordinates such that the positive y-axis is upward, the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball’s maximum height above the ground, and the time it takes to reach the maximum height. (b) Repeat your calculations choosing the origin at the base of the building.

  • Physics -

    a. Vf^2 = Vo^2 + 2gd,
    d = 50 + (Vf^2 - Vo^2) / 2g,
    d = 50 + (0 - (12)^2) / -19.6,
    d = 50 + 7.35 = 57.35m above ground.

    Vf = V0 + gt,
    t = (Vf - Vo) / g,
    t(up) = (0 - 12) / -9.8 = 1.22s.

    b. d = (Vf^2 - Vo^2) / 2g,
    d = (0 - (12)^2) / -19.6 = 7.35m above
    ground.

    t(up) = (Vf - Vo) / g,
    t(up) = (0 - 12) / -9.8 = 1.22s.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle è with respect to …
  2. physics

    Need help with short projectile motion question a ball is thrown up off the roof of a school at an angle of 55 degrees from the horizontal and at a velocity of 25m/s. how long before it hits the ground if it land 95meters from the …
  3. Math: Word Problem

    A ball is thrown upward from the top of a building which is 96ft tall w/ Initial velocity of 80 ft per sec. Distance s(ft) of ball from the ground after t sec is s=96+80t-16t^(2) 1) how many sec. will the ball pass the top of the building …
  4. physics

    A ball is thrown horizontally off the top of a 65 m tall building at a velocity of 7.8 m/s. How far did the ball land from the base of the building?
  5. Physics

    A ball is thrown horizontally from the top of a building 45.2 m high. The ball strikes the ground at a point 78.9 m from the base of the building. The acceleration of gravity is 9.8 m/s 2 . Find the time the ball is in motion, initial …
  6. Physics

    You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle θ with respect …
  7. Physics

    You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle θ with respect …
  8. Physics

    Ball A is thrown straight down off the top of a tall building with an initial velocity of 20m/s. Ball b is thrown straight up from the top of the same building with initial velocity of 20 m/s. Which ball, if either, experiences the …
  9. Physics

    A ball is thrown horizontally from the top of a 65 m building and lands 105 m from the base of the building. Ignore air resistance, and use a coordinate system whose origin is at the top of the building, with positive y upwards and …
  10. Physics

    I believe this is a projectile motion problem with the angle = 0 degrees. A ball is thrown horizontally from the roof of a building 7.5 m tall and lands 9.5 m from the base. What was the ball's initial speed?

More Similar Questions