A cannon is firing from the top of a hill, forming a π/6 angle with the horizontal plane. The barrel of the cannon form a certain height with the horizontal plane at the time of the firing, and its is fired so that the projectile lands on the bottom part of the hill 6 kilometers from the cannon. Determine the projectile's minimum speed at the time it was shot from the barrel, as well as the magnitude of the barrel's elevation. Ignore any opposing forces.

A cannon is firing from the top of a hill, forming a π/6 angle with the horizontal plane. The barrel of the cannon form a certain height with the horizontal plane at the time of the firing, and its is fired so that the projectile lands on the bottom part of the hill 6 kilometers from the cannon. Determine the projectile's minimum speed at the time it was shot from the barrel, as well as the magnitude of the barrel's elevation. Ignore any opposing forces.

Name: A cannon is firing from the top of a hill, forming a π/6 angle with th
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: A cannon is firing from the top of a hill, forming a π/6 angle with the horizontal plane. The barrel of the cannon form a certain height with the horizontal plane at the time of the firing, and its is fired so that the projectile lands on the bottom

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...

See similar textbooks

Similar questions

If a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in a direction making an angle α with the horizontal, calculate the time required for the projectile to cross a line passing through the origin and making an angle β < α with the horizontal.
A cannon is firing from the top of the hill, forming a pi/6 angle with the horizontal plane. The barrel of the cannon forms a certain height with the horizontal plane at the time of the firing, and it is fired so that the projectile lands on the bottom part of the hill 6 kilometers from the cannon. Determine the projectile's minimum speed at the time it was shot from the barrel, as well as the magnitude of the barrel's elevation. Ignore any opposing forces.
In my homework, I am asked to derive an equation for V0. The homework question is as follows: A howitzer fires a shell with a velocity of v0 at an angle Θ above the horizontal. The howitzer is on a plateau and the shell lands down in the plain below, a vertical distance d below the plateau and a horizontal distance L from where the howitzer is. Derive an expression for the magnitude of the initial velocity, V0, as a function of d, L, g, and Θ. Any help would be appreciated as I have worked on this problem for quite a while and I am not making progress.
A playground is on the flat roof of a city school, h, - 6.30 m above the street below (see figure). The vertical wall of the building is h= 7.50 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of e = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. m/s (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.
A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 33.0 m above sea level, directed at an angle e above the horizontal with an unknown speed vo. The projectile remains in flight for 6.00 seconds and travels a horizontal distance D of 145.0 m. Assuming that air friction can be neglected, calculate the value of the angle 0. 55.299° You know how long the rock is in the air. This yields its horizontal velocity from the horizontal distance it travels. You get the vertical component of the velocity by using the equation of motion with constant acceleration. From the two velocity components you can figure out the angle. Incorrect. Tries 9/10 Previous Tries Submit Answer Calculate the speed at which the rock is launched. 34.93m/s You know the net change in height of the rock, along with the horizontal distance it travels. Since you calculated the initial angle already, you can use your equations of position in…
In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer. The barrel of the howitzer makes a 54.0° angle above horizontal, and the speed of the shell upon exiting the barrel is 350 m/s. The shell hits a target on the side of a mountain 35.5 s after firing. Assuming the point where the shell exits the barrel to be the origin, and assuming as usual that the x-axis is horizontal and the y-axis is vertical, find the x and y coordinates, in meters, of the target. x = y = m m
In a live fire exercise, an Army artillery team fires an artillery shell from a howitzer (a relatively small cannon). The barrel makes an angle of 54.0 ° above the horizontal, and the velocity of the projectile as it exits the barrel is 370 m / s. The projectile hits a target on a mountainside 39.0 s after being fired. Assuming that the point where the projectile exits the barrel is the origin, and assuming as usual that the x-axis is horizontal and the y-axis is vertical, find the x and y coordinates, in meters, of the target.
A playground is on the flat roof of a city school, h, = 5.10 m above the street below (see figure). The vertical wall of the building is h = 6.30 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. h (a) Find the speed at which the ball was launched. 18.13 m/s (b) Find the vertical distance by which the ball clears the wall. 2.1 Your response differs from the correct answer by more than 10%. Double check your calculations. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. 2.3 Your response differs from the correct answer by more than 10%. Double check your calculations. m
A baseball slugger hits a pitch and watches the ball fly into the bleachers for a home run, landing h = 5.5 m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf = 40.05 m/s at an angle θf = 26° below horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position. Find the angle θ0 in degrees above the horizontal at which the ball left the bat.
A playground is on the flat roof of a city school, h, = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. 18.0 V m/s (b) Find the vertical distance by which the ball clears the wall. 0.32 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. 2.14 Your response differs from the correct answer by more than 10%. Double check your calculations. m
A playground is on the flat roof of a city school, h, = 6.40 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.5-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. m/s (b) Find the vertical distance by which the ball clears the wall. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. m
A playground is on the flat roof of a city school, hb = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of ? = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. A man on the ground kicking a ball to children on a flat rooftop is shown. The distance between the man and the building is labeled d. The height of the left wall of the building is labeled h. The motion of the ball is depicted as a parabola originating from the man on the ground and ending at the rooftop. The vector of the initial motion of the ball makes an angle ? with the horizontal. (b) Find the vertical distance by which the ball clears the wall. m(c) Find the horizontal distance from the wall to the point on the roof where the…