Math

posted by .

A projectile is fired with an initial velocity of 350 feet per second at an angle of 45° with the horizontal. To the nearest foot, find the maximum altitude of the projectile. The parametric equations for the path of the projectile are
x = (350 cos 45°)t, and
y = (350 sin 45°)t - 16t2.

  • Math -

    Maximum height is achieved when
    Vy = (Vo cos 45)*t -g t = 0

    t = (350 sin 45)/g = 7.69 s
    where g = 32.2 ft/s^2

    The height at that time is

    Vo sin 45 t - (g/2) t^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A gun is fired from a bunker of 2m deep with an initial velocity of 500m/s at an angle of pi/6 a) Find the parametric equations of the position of the projectile b) Find the range of the projectile to the nearest meter. c) Find the …
  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. trig

    If sin(t) = -2/48 and cos(t) < 0 what is the value of cos(t) to the nearest thousandth?
  4. Trig

    The path of a projectile fired at an inclination t0 to the horizontal with initial velocity v feet per second is a parabola. The horizontal distance R, in feet, that the projectile travels is given by R = v2sin(2t)/32.2. What is R …
  5. physics

    A projectile was fired out of a lead ejector at an angle of 45 degrees up from horizontal. The projectile velocity was 1000.00 meters per second. How high did it go?
  6. 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 resistance, …
  7. Physics

    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 resistance, …
  8. 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. …
  9. Math (TRIG)

    Please help me set up these problems. 1.) Find an equivalent equation in rectangular coordinates. r(1 - 2 cos θ) = 1 2.) Find a rectangular equation for the plane curve defined by the parametric equations. x = sec t, y = tan 3.) …
  10. PreCalculus 1

    Please help me answer this question. I have finished the other two parametric equations on my own, but I am confused as to how to do this one. 4. A ball is hit at an angle of 17¢X. The ball is hit when it is 2.5 feet above the ground …

More Similar Questions