1. If a projectile is fired with an initial velocity of vo meters per second at...
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 equations
x=(v0 cos α) t y=(v0 sin α) t-1/2 g t2
where 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 far away from the launcher will it hit the ground? What is the maximum height reached by the projectile?
(b) Show that the path is parabolic by eliminating the parameter.
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1. If a projectile is fired with an initial velocity of vo meters per second at...
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 vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (vo cos(a)t y = (vo sin(a)t - +- 1012 where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.) (a) If a gun is fired with a = 30°...
You are trying to hit a target that is horizontally 3.5 meters away and 1.8 meters...
You are trying to hit a target that is horizontally 3.5 meters away and 1.8 meters higher than the projectile launcher. The launcher nuzzle is fixed at a 46 degree angle with respect to the horizontal line. Find the velocity in meters per second that will result in a hit. g = 9.8 m/s2.
A projectile is fired with an initial speed of 250 m/s and angle of elevation 60°.
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.
If an object is thrown with a velocity of v feet per second at an angle...
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 190 m/s and angle of elevation 60°....
A projectile is fired with an initial speed of 190 m/s and angle of elevation 60°. The projectile is fired from a position 110 m above the ground. (Recall g ≈ 9.8 m/s2. Round your answers to the nearest whole number.) (sorry My bad) (a) Find the range of the projectile. m (b) Find the maximum height reached. m (c) Find the speed at impact. m/s
a bullet is fired from a rifle with a muzzle velocity of 80 meters per second...
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 speed of 250 m/s and angle of elevation 60°
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.
Problem 4: A projectile is fired with an initial velocity of 54.1 m/s, at an initial...
Problem 4: A projectile is fired with an initial velocity of 54.1 m/s, at an initial inclination of 33.7 degrees with the horizontal r-axis. All initial variables (displacement and time) start at 0. You are asked to consider two cases of motion for the projectile, one without drag, and one with drag, with both the cases including effects of gravity. a) For motion with no drag, acceleration vector is given as а -g, where g 9.8 m/s. b) For motion...
A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and t...
A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 70.0m above ground level, and the ball is fired with initial horizontal speed v0. Assume acceleration due to gravity to be g = 9.80m/s2 . Part A Assume that the cannon is fired at time t=0 and that the cannonball hits the ground at time tg. What is the y position of the cannonball at the time tg/2? Answer is 52.5 Part...
Q=80 VA Α. Problem 1, A projectile is fired with an initial velocity of Vi =...
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VA Α. Problem 1, A projectile is fired with an initial velocity of Vi = 50 +2Q) m/s off the roof of the building. Q1) What is the maximum height measured from the ground, in (m) (2) What is the range R where it strikes the ground at B, in (m) 3) What is the magnitude of the velocity at B, in (m/s). 150 m B R
If a projectile is fired with an initial velocity of vo meters per second at an angle a above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x = (vo cos(a)t y = (vo sin(a)t - +- 1012 where g is the acceleration due to gravity (9.8 m/s2). (Round your answers to the nearest whole number.) (a) If a gun is fired with a = 30°...
Problem 4: A projectile is fired with an initial velocity of 54.1 m/s, at an initial inclination of 33.7 degrees with the horizontal r-axis. All initial variables (displacement and time) start at 0. You are asked to consider two cases of motion for the projectile, one without drag, and one with drag, with both the cases including effects of gravity. a) For motion with no drag, acceleration vector is given as а -g, where g 9.8 m/s. b) For motion...
Q=80
VA Α. Problem 1, A projectile is fired with an initial velocity of Vi = 50 +2Q) m/s off the roof of the building. Q1) What is the maximum height measured from the ground, in (m) (2) What is the range R where it strikes the ground at B, in (m) 3) What is the magnitude of the velocity at B, in (m/s). 150 m B R
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