A plane is traveling horizontally at a speed u = 40 m/s at a height h = 100m above ground when it drops a package, as shown in the figure. How long it takes the dropped package to reach the ground and where?
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- A student standing on a cliff throws a stone from a vertical height of d=8.0m�=8.0m above the level ground with velocity v0=24m/s at an angle θ=15 below the horizontal, as shown. It moves without air resistance. Use a Cartesian coordinate system with the origin at the initial position of the stone. With what speed, in meters per second, does the stone strike the ground?A plane is flying horizontally at 350 km hr at an altitude of 420 m. at this instant, a bomb is released. how far horizontally from this point will the bomb hit the ground?You’re playing a carnival game where the goal is to get a ball to hit a target. You toss the ball 1.6 m above the ground, upwards at an angle of 55 degrees above the horizontal, at a speed of 5.3 m/s. The target is 10 cm tall, sits 2.8 m away and its bottom edge is 1.5 m above the ground.• Sketch the situation, including a coordinate system and the ball's trajectory.• How many seconds is the ball in the air, which it reaches the target?• Does the ball hit the target? • What is the ball's speed and direction, as it reaches the target’s horizontal position?
- A helicopter is delivering a care package to a remote location, travelling horizontally at 80 m/s and is 150m above the ground when the package is dropped. How long will it take for the package to hit the ground? How far does the package travel horizontally?A student standing on a cliff throws a stone from a vertical height of d=8.0mabove the level ground with velocity v0=15m/s at an angle θ=18∘ below the horizontal.It moves without air resistance. Use a Cartesian coordinate system with the origin at the initial position of the stone. With what speed, in meters per second, does the stone strike the ground?An archer standing on a 150 slope shoots an arrow 20 0 above the horizontal, as shown in the figure. How far down the slope does the arrow hit if it is shot with a speed of 50 m/s from 1.75 m above the ground?
- In the figure, you throw a ball toward a wall at speed 28.0 m/s and at angle θ0 = 42.0˚ above the horizontal. The wall is distance d = 20.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall?A ball is rolled horizontally off a table with an initial speed of 0.24 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. How far away from the table does the ball land? (g = 9.8 m/s2 and air resistance is negligible).A hang glider is travelling horizontally at 15 m/s and is located 306 m above the surface of the earth. Suddenly and accidentally a water bottle falls from it. How far will the water bottle have traveled horizontally when it hits the ground?
- You fire a projectile horizontally at a speed of 6 m/s from a table top 1.2 m above the floor. How far will the projectile travel horizontally before hitting the ground (in m)?You are standing 18.0 meters away from a building, which is 15.0 meters tall and has a large, flat roof. You throw a baseball with an initial speed of 22.5 meters per second, at an angle of 55.0 degrees above the horizontal. When the baseball leaves your hand, it is 1.5 meters above the ground. The baseball lands on the roof of the building.How far onto the roof does the baseball go, in meters?A projectile is launched on earth at an angle θ, relative to horizontal direction. At half of its maximum height the speed of the projectile is 1.00 m/s, and at its maximum height the speed of the projectile is 0.41 m/s. What is the angle θ ?θ = °