Physics

posted by .

a projectile is fired with an initial speed of 53 m/s. Find the angle of projection such that the maximum height of the projectile is equal to its horizontal range

  • Physics -

    range is v^2 sin(2θ)/g
    height is v^2 sin^2(θ)/2g

    so,

    sin(2θ) = sin^2(θ)/2
    2sinθcosθ = sin^2(θ)/2
    4cosθ = sinθ
    16cos^2(θ) = sin^2(θ) = 1 - cos^2(θ)
    17cos^2(θ) = 1
    cosθ = 1/√17

  • Physics -

    0.34 & 0.125

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A projectile is fired in such a way that its horizontal range is equal to 8.5 times its maximum height. What is the angle of projection?
  2. Physics

    A projectile is fired in such a way that its horizontal range is equal to 2.6 times its maximum height, what is the angle of projection?
  3. Physics

    A projectile is fired in such a way that its horizontal range is equal to 2.6 times its maximum height, what is the angle of projection?
  4. Physics please help!!

    A projectile is fired at 45.0° above the horizontal. Its initial speed is equal to 42.5 m/s. Assume that the free-fall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height …
  5. Physics

    A projectile is fired such that its horizontal range is equal to 2.5 times its maximum height. Find the angle the projectile was fired at
  6. projectile motion

    A missile is fired upwards from the top of a cliff in a direction making an angle (not known ) with the horizontal. After 20seconds the projectile hits the ground at a point which is 1800metre from the foot of the tower of height 160metres. …
  7. physics

    A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5 degree above the horizontal on a long flat firing range. Determine (a) The maximum height reached by the projectile, (b) The total time in the air, (c) The …
  8. mecancs

    a projectile is fired with an inteal speed of 53m/s.find the angle of projection such that the maximum hight of a projectile is equal to its horizontal range.
  9. physics

    A projectile is fired at 30.0° above the horizontal. Its initial speed is equal to 172.5 m/s. Assume that the free-fall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height …
  10. Physics

    I'm having trouble where to start with this question.. Any help would be helpful. A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the maximum …

More Similar Questions