A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 105 m/s at an angle of 37.0o with the horizontal, as shown in Figure 3-39. (a) Determine the time taken by the projectile to hit point P at ground level. (b) Determine the range X of the projectile as measured from the base of the cliff. At the instant just before the projectile hits point P, find (c) the horizontal and vertical components of the velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal.

  1. 👍
  2. 👎
  3. 👁
  1. Vo = 105 m/s @ 37 Deg.
    Xo = hor. = 105*cos37 = 83.9 m/s.
    Yo = ver. = 105*sin37 = 63.2 m/s.
    h = ho + (Y^2-Yo^2)/2g.
    h = 125 + (0-(63.2)^2) / -19.6=328.8 m
    above gnd.

    Tr = (Y-Yo)/g=(0-63.2) / -9.8=6.45 s.
    = Rise time.

    a. h = Vo*t + 4.9t^2 = 328.8 m.
    0 + 4.9t^2 = 328.8.
    t^2 = 328.8 / 4.9 = 67.1.
    Tf = 8.19 s. = Fall time.

    b. Range=Xo*(Tr+Tf)=83.9(6.45+8.19)=1228.3 m.

    c. Y = Yo + gt.
    Y = ver. = 0 + 9.8*8.19 = 80.3 m/s.
    X = hor = Xo = 83.9 m/s.

    d. V = sqrt(X^2+Y^2).
    V = sqrt((83.9)^2+(80.3)^2) = 116 m/s.

    e. tanA = Y/X = 80.3 / 83.9 = 0.95709.
    A = 43.7 Deg.

    1. 👍
    2. 👎
  2. How do you do part C

    1. 👍
    2. 👎
  3. Part C
    Vo = 105m/s theta= 37.0 degrees
    Horizontal = 105*cos37 = 83.86m/s
    Vertical = 105*sin37 = 63.19m/s

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    a projectile with a muzzle velocity of 550 m/s is fired from the a gun on top of a cliff 460 m above the sea level at a certain angle with respect to the horizontal. if the projectile hits the ocean surface. 49.2 seconds after

  2. dynamic

    A projectile fired from the edge of a 150 m high cliff with an initial velocity of 180 m/s at an angle of elevation of 30 deg with the horizontal. i. The greatest elevation above the ground reached by the projectile. ii.

  3. Math000

    The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 21.5 m/s is h = 3 + 21.5t − 4.9t2 after t seconds. (Round your answers to two decimal places.) (a)

  4. physics

    A cannon, located 60.0 m from the base of a vertical 25.0 -m-tall cliff, shoots a 15-kg shell at 43.0 degrees above the horizontal toward the cliff. (a) What must the minimum muzzle velocity be for the shell to clear the top of

  1. physics

    A projectile is fired at an angle of 30ᵒ above the horizontal from the top of the cliff 600 ft high. The initial speed of the projectile is 2000 ft/s. how far will the projectile move horizontally before it hits the level ground

  2. pre-calc

    analyzing the motion of a projectile: a projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees, with a muzzle velocity of 50 feet per second. the height of the projectile above the water is given

  3. physics

    A projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high.If the projectile lands on top of the cliff 6.5 s after it is fired, find the initial velocity of the projectile ( (a)magnitude

  4. Physics

    at the moment when a shot putter releases a 4kg shot the shot is 1.25 m above the ground and travelling at 7 m/s. it reaches a maxium height of 3.7 m above the ground and then falls to the ground. air resistance is negligible and

  1. Physics

    a) A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball is fired with initial horizontal speed v_0. Assume acceleration due to gravity to be g = 9.80 m/s^2.

  2. Physics

    An arrow is shot from a height of 1.5 m toward a cliff of height . It is shot with a velocity of 30 m/s at an angle of 60 deg above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the

  3. Physics

    At time t = 0, a projectile is launched from ground level. At t = 2.00 s, it is displaced d = 53 m horizontally and h = 54 m vertically above the launch point. What are the (a) horizontal and (b) vertical components of the initial

  4. physics

    A rock falls off the edge of a cliff and strikes the ground after 3.8 s. What is the height of the cliff? Assume air resistance is negligible

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