If a projectile is fired with an initial velocity of vo meters per second at an...
If a projectile is fired with an initial velocity of v0 meters per second at an angle α above the horizontal, and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equationsx=(v0 cos α) t y=(v0 sin α) t-1/2 g t2where g is the acceleration due to gravity (9.8 m / s2)(a) If a projectile is fired with α=45° and v0=900 m / s, when will it hit the ground? How...
a bullet is fired from a rifle with a muzzle velocity of 80 meters per second at an angle of 30 degrees from the horizontal. How far away does the bullet hit the ground? How long does it take the bullet to hit the ground? What is the maximum height of the bullet's path?
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 arex = (350 cos 45°)t, andy = (350 sin 45°)t - 16t2.
If an object is thrown with a velocity of v feet per second at an angle of θ with the horizontal, then its flight can be modeled by, x = (v cos θ ) t and y = v (sin θ ) t - 16 t2 + h where t is in seconds and h is the object's initial height in feet above the ground. x is the horizontal position and y is the vertical position, and - 16 t2...
A projectile is fired with an initial speed of 250 m/s and angle of elevation 60°. The projectile is fired from a position 100 m above the ground. (Recall g ≈ 9.8 m/s2. Round your answers to the nearest whole number.) (a) Find the range of the projectile. (b) Find the maximum height reached. (c) Find the speed at impact.
6. A projectile is fired from ground level, and 10 seconds later hits a target 374 m away and 45 m above the ground. What were the initial velocity and launch angle? 7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo. The vertical velocity of the ball can be written as a function of time, vy(t)- vo sin 8o + ayt, where the acceleration ay in the y-direction is assumed constant. a. Set the origin...
A bullet is fired straight up from a gun with amuzzle velocity of 141 m/s.Neglecting air resistance, what will be itsdisplacement after 4.5 s? The acceleration ofgravity is 9.8 m/s2 .Answer in units of m.
A projectile is fired with an initial speed of 250 m/s and angle of elevation 60°. (Recall g ≈ 9.8 m/s2. Round your answers to the nearest whole number.) (a) Find the range of the projectile. (b) Find the maximum height reached. (c) Find the speed at impact.
Styles Paragraph A bullet is fired directly upward and reaches a height of 2150 meters() Find the initial velocity of the bullet in meters per second (m/s). (2) How many seconds (s) does it take to reach its maximum height? (3) How many seconds (s) is the bullet in the air? Hint- acceleration of gravity is 9.8 m/SA2 売(Ctrl). 扇,季.wl
A projectile is fired upward from the ground with an initial velocity of 760 feet per second. Assume that the height of the projectile at any time t can be described by the polynomial function PO = - 161? + 7601. Answer parts (a) through (1) a. What is the height of the projectile at t= 3 seconds? b. What is the height of the projectile at t= 6 seconds? ft c. What is the height of the projectile att...