In a naval battle, a battleship is attempting to fire on a frigate. The battleship is a distance d₂ = 2,200 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v, = 245 m/s. The peak of the mountain is h = 1,640 m above sea level, and the western shore of the island is a horizontal distance d₂ = 290 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d, and h.)

A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s ). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall.)

You go watch your friend as she runs at a cross country meet. The first time she passes you, your friend runs by going due north at a speed of 4.40 m/s. You move to a different place on the course and twelve minutes after you saw her the first time, your friend runs past you again. This time she is traveling at a speed of 3.80 m/s in the direction 30.0° W of S. What is the direction of her average acceleration between those same two times?

In a naval battle, a cruiser is attempting to fire on a frigate. The cruiser is a distance d₁ = 2,050 m to the east of the peak of a mountain on an island, as shown in the figure below. The frigate is attempting to evade cannon shells fired from the cruiser by hiding on the west side of the island. The initial speed of the shells that the cruiser fires is v₁ = 245 m/s. The peak of the mountain is h = 1,690 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the frigate will be safe from fire from the cruiser? (Note the figure is not to scale. You may assume that the height and width of the frigate are small compared to d₁ and h.) less than Need Help? Read It 0₁ Ja₂ m, or more than d₁ m

An archer on the roof of a tower shoots an arrow at a bird in flight. The arrow travels at 255 m/s. The bird is directly across from the archer at a distance of 90.0 m. The archer misses. If the tower is 200 m tall and if we assume the cow is at ground level, will his stray arrow hit the cow? (The cow is 145 m away from the tower.)

A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of 80 m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall. Round your answers to one decimal place. Use g = 9.8 m/s2. Enter your answer using interval notation. Enter your answer in terms of degrees without using a degree symbol.)

An object is launched at a velocity of 35 m/s in a direction making an angle of 53 degrees upward with the horizontal. What is the horizontal range of the object in m?

A ball has a velocity vector V with components of Vx=2.40 m/s and Vy= - 1.70 m/s. (a) What is the speed of the ball? (b) When is the ball at 10.0 m on the X axis? (c) When the ball has position of 10.0 meters on the X-axis, what is the position on the Y-axis?

In a naval battle, a battleship is attempting to fire on a destroyer. The battleship is a distance d₁ = 2,000 m to the east of the peak of a mountain on an island, as shown in the figure below. The destroyer is attempting to evade cannon shells fired from the battleship by hiding on the west side of the island. The initial speed of the shells that the battleship fires is v; = 245 m/s. The peak of the mountain is h = 1,940 m above sea level, and the western shore of the island is a horizontal distance d₂ = 270 m from the peak. What are the distances (in m), as measured from the western shore of the island, at which the destroyer will be safe from fire from the battleship? (Note the figure is not to scale. You may assume that the height and width of the destroyer are small compared to d, and h.) less than Need Help? Read It m, or more than m

A medieval city has the shape of a square and is protected by walls with length 500 m and height 15 m. You are the commander of an attacking army and the closest you can get to the wall is 100 m. Your plan is to set fire to the city by catapulting heated rocks over the wall (with an initial speed of ( 80m/s). At what range of angles should you tell your men to set the catapult? (Assume the path of the rocks is perpendicular to the wall.)