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 being fired, determine the horizontal range of the projectile?

  1. 👍
  2. 👎
  3. 👁
  1. Range = Vo^2*2sinA*cosA/g = Vo*cosA*T
    (550)^2*2sinA*cosA/9.8=550cosA*49.2
    Divide both sides by 550cosA:
    550*2sinA/9.8 = 49.2
    56.12*2sinA = 49.2
    112.24*sin A = 49.2
    sinA = 0.43833
    A = 26o.

    Range = Vo*cos A * T
    Range = 550*cos26 * 49.2 = 24321 m.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

  2. Physics

    The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in Figure P5.33a. If its spring is compressed a distance of 0.140 m and the gun fired vertically as shown, the gun can launch a 24.0 g

  3. Physics

    A bullet with a mass of 28 g is fired from a 2.8-kg gun that is stationary, but free to recoil. After the bullet is fired, the gun is observed to be moving at 1.4 m/s [left]. What is the velocity of the bullet?

  4. 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

  1. physics

    a projectile is fired in the earth's gravitational field with a horizontal velocity of v=9.00 m/s. How far does it go in the horizontal direction in 0.550 seconds?

  2. Physics

    A rail gun uses electromagnetic energy to accelerate objects quickly over a short distance. In an experiment, a 2.00 kg projectile remains on the rails of the gun for only 3.500e-2 s, but in that time it goes from rest to a

  3. Physics/math

    A gun with a muzzle velocity of 1200 feet per second is fired at an angle of 6 degrees with the horizontal. Find the vertical and horizontal components of the velocity.

  4. physics

    A 32 kg gun is standing on a frictionless surface. The gun fires a 55.1 g bullet with a muzzle velocity of 320 m/s. The positive direction is that of the bullet. Calculate the momentum of the bullet immediately after the gun was

  1. College Algebra

    Show all work. A projectile is fired from a cliff 100 ft above the water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 260 ft/second. The height of the projectile above the water is given by h(x)=

  2. physics

    The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in the figure below. If the spring is compressed a distance of 0.160 m and the gun fired vertically as shown, the gun can launch a

  3. science

    A bullet of 29g is shot from a gun of mass 20kg with a muzzle velocity of 200ms if the bullet is 30cm long.determine. a)acceleration of the bullet b)the recoil velocity of the gun

  4. Math

    A projectile is fired with an initial velocity of v0 feet per second. The projectile can be pictured as being fired from the origin into the first quadrant, making an angle O with the positive x-axis. If there is no air

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