One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion.  One day Hercules sees the lion 320 feet away.  He strings his bow and lets an arrow fly.  The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet.  He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground.   determine the launch angle that will hit the Lion. Find the right angle.

Q: An artillery piece is on the edge of a cliff. This has a height of 12 meters. A vehicle is…

A: Solution: To hit the vehicle, the projectile must travel a horizontal distance of 200 m and a…

Q: o start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: initial velocity = V0 = 310 m/s angle = 58 time = t = 40 sec

Q: Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial…

A: a) Given data The initial velocity of the projectile launched is given as u = 49.5 m/s. The angle…

Q: launch angle

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Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

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Q: A rocket is landing vertically downward from a point 2 miles east of an observer on the ground. What…

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Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: The initial velocity of the artillery shell is 330 m/s at 53° above the horizontal. In vector form…

Q: A projectile is shot from ground level at 100 ft/s at a launch angle of θ that is between θ and π…

A: Range, Rθ=625 sinθ cosθ =12625 sin2θrate of change of range wrt. the launch angle, dRθdθ=12625…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: S = u t +1/2 a t^2 apply this in x direction ( as no force in x direction so a=0) X = 350*cos(58)*36…

Q: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.750 m/s…

A: Let v be the velocity of the water flowing, h be the height of the wall, t be the time taken for the…

Q: A missile is shot at ground level from a mortar at an angle of 600 with the horizontal with an…

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Q: A human archer atop a castle wall shoots an arrow at a velocity of 65 m/s at an angle of 36.9…

A: Launch velocity (u) = 65 msLaunch angle (θ) = 36.9o above the horizontal Time of flight (t) = 5.82…

Q: a) How high is the balcony from the ground below, b) how far does the pebble travel before striking…

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Q: A trebuchet (a catapult) is used to launch a fiery projectile towards a castle. The projectile is…

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Q: A father demonstrates projectile motion to his children by placing a pea on his fork's handle and…

A: Horizontal velocity is,

Q: A rifle is fired from the top of a 90 m tall building.  The initial velocity of the bullet is 350…

A:

Q: demonstrates projectile to his children by placing a pea on his fork's handle and rapidly depressing…

A: The launch angle is Initial speed is Height of ceiling is Find:Speed of object while striking the…

Q: robin hood shoots an arrow at a target that is a horizontal distance d = 75m away; the bullseye of…

A: Given data The horizontal distance moved by the arrow is: d = 75 m The arrow's initial speed is: u =…

Q: soccer player kicks the ball toward the goal, which is 30.2 m in front of her. The ball leaves her…

A: Distance of the goal post is S = 30.2 m Initial velocity of the ball is u = 24 m/s Angle of…

Q: A projectile is landing with an angle of 60 degrees below the horizontal. It is thrown horizontally…

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Q: In the figure a projectile is launched onto a building. The launch angle is 61.8 degrees from the…

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Q: A boy stands at the top of the building, with height h above the ground, and throws a ball. The ball…

A: 1) Given: Distance at which the ball lands from the base of the building is 30 m. Angle above the…

Q: At the Science Olympiad competition, a group of middle school students use a trebuchet that launches…

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Q: A fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire…

A: Given:  v = 40 m/s  Angle = 30 degree  d = 50 m

Q: A marble has to get into the hole by launching it into the air at an angle. The target hole is 143.2…

A: Given, The horizontal distance R =143.2 mLaunching velocity v=40m/s

Q: A football quarterback is moving straight backward at a speed of 2.11 m/s when he throws a pass to a…

A: To solve this problem, we can break down the initial velocity of the ball into its horizontal and…

Q: A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 680 m/s. The gun is…

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Q: An enemy ship is on the east side of a mountain island, as shown in the figure. The enemy ship has…

A: The expression for the projectile motion of the ship is, Solve the above relation. The solution…

Q: the front and 32 meters fr

A: We know that it  is the problem of the projectile motion, let the initial velocity of the projectile…

Q: there is a catapult set up, designed to launch cannonballs at a castle. the catapult is set up to…

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Q: You launch a projectile at an initial speed of 47.6 m/s from the ground. After 6.70 seconds of…

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Q: A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P3.34). The…

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Q: You are standing 18.0 meters away from a building, which is 15.0 meters tall and has a large, flat…

A: We have to consider separately the vertical and the horizontal component of motion of the ball to…

Q: A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket as in figure.…

A: Given that:- Height of basketball player=h=2m

Q: You are standing 18.0 meters away from a building, which is 15.0 meters tall and has a large, flat…

A: In x direction  Vx = ux = 22.5 Cos55 = 12.9 m/s Now in y direction  uy = 18.43 m/s  Sy = 15-1.5 =…

Q: A 2.00-m-tall basketball player is standing on the floor 10.0 m from the basket, as in Figure P3.…

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Q: cannonball is shot (from ground level) with an initial horizontal velocity of 39 m/s and an initial…

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Q: How tall, in meters, is the building that the child is standing on?

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Q: the energy neede to keep a 75watt bulb burning for 1 hour is 270kj. how much energy is needed to…

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Q: A water slide launches a child horizontally above a swimming pool. vertical distance from the top of…

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Q: At a top of a building, a projectile is launched with an initial velocity of 25.0m/s at an angle of…

A:

Q: The Kilauea volcano in Hawaii is the world’s most active, disgorging about 5 X 105 m3 of 1200C lava…

A: Given data: Volume of lava, V=5×105 m3 Initial temperature, T1=1200 oC Density of lava, ρ=2700 kg/m3…

Q: A mountain biker encounters a jump on a race course that sends him into the air at 60° to the…

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Q: At a top of a building, a projectile is launched with an initial velocity of 25.0m/s at an angle of…

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Q: You are walking around your neighborhood and you see a child on top of a roof of a building kick a…

A: The horizontal and vertical component of the velocity of the object is,Substitute the values,

Q: A bird is sitting on the top of a tree 10 m high. With what velocity should a person, standing at a…

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Q: A father demonstrates projectile motion to his children by placing a pea on his fork's handle and…

A: Vertical component of initial velocity of projectile is,

Projectile Motion