An inflatable life raft is released from an airplane at 300 m altitude, in level flight with an air speed of 40 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?
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- A small airplane flying horizontally with a speed of 179 mi/hr at an altitude of 280 ft above a remote valley drops an emergency medical package at A. The package has a parachute which deploys at B and allows the package to descend vertically at the constant rate of 6.2 ft/sec. If the drop is designed so that the package is to reach the ground 25 seconds after release at A, determine the horizontal lead L so that the package hits the target. Neglect atmospheric resistance from A to B. B. Target- L 179 mi/hr A 280'A small airplane flying horizontally with a speed of 147 mi/hr at an altitude of 390 ft above a remote valley drops an emergency medical package at A. The package has a parachute which deploys at B and allows the package to descend vertically at the constant rate of 4.5 ft/sec. If the drop is designed so that the package is to reach the ground 59 seconds after release at A, determine the horizontal lead L so that the package hits the target. Neglect atmospheric resistance from A to B. B Target- Part 1 Calculate the time t₁ at which the parachute opens. B. Target- Answer: t₁ = i L sec 147 mi/hr 147 mi/hr. 390' 390'A helicopter needs to travel a displacement of 182 km at 17.0 degrees W of N relative to the ground in a time of 2.00 h. The average wind velocity is 38.0 km/h at 25.0 degrees N of E. What is the speed of the helicopter relative to air?
- A small airplane flying horizontally with a speed of 176 mi/hr at an altitude of 270 ft above a remote valley drops an emergency medical package at A. The package has a parachute which deploys at B and allows the package to descend vertically at the constant rate of 4.7 ft/sec. If the drop is designed so that the package is to reach the ground 31 seconds after release at A, determine the horizontal lead L so that the package hits the target. Neglect atmospheric resistance from A to B. B Target- L Calculate the time t₁ at which the parachute opens. B Target- Answer: t₁ = i sec 176 mi/hr 176 mi/hr 270' 270'At what altitude must a military plane flying horizontally at 175 m/s be in order to deliver relief goods to evacuees? The evacuees are in an evacuation centre 1750m away from where the plane is.The SB2C Helldiver was a dive-bomber that was used by the United States Navy during World War II. Consider one such aircraft flying with a velocity of 111 m/s at an angle ? below the horizontal. The aircraft releases a bomb when its altitude is 2.15 km above sea level. At the point when the bomb is released, the magnitude of the displacement from the bomb to its target at sea level is 2.53 km. What is the angle ?? (Give your answer in degrees. Consider ? to be a positive value, measured downward from the horizontal axis.) _______° downward from the horizontal.
- a fireman d=31.0 m away from a burning building directs a stream of water from a ground-level hose at an angle of 0i=26.0 degrees above the horizontal. if the speed of the stream as it leaves the hose is vi=40.0 m/s, at what height will the stream of water strike the building?A plane is flying directly into a headwind at 300.0 km/h relative to the air. The air is blowing at 90.0 km/h relative to the ground. What is the plane's speed, in km/h, relative to the ground?A fireman d = 57.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of e, = 23.0° above the horizontal as shown in the figure. If the speed of the stream as it leaves the hose is v, = 40.0 m/s, at what height will the stream of water strike the building?
- A car full of teenage hooligans drives down a road at 43.0 km/h. They throw an egg out the window at an angle of 26.0° above the horizontal with a speed of 4.00 m/s relative to the car, and from a height of 1.00 m from the ground. The projection of the egg's velocity onto the horizontal makes an angle of 34.0° with the velocity of the car. Ignore wind resistance. 2. (a) How far ahead of the car is the egg 1.00 s later? (b) What is the speed of the egg in flight with respect to the ground? (c) What angle with respect to the horizontal does the egg's velocity make just before the egg lands? What angle does the projection of the egg's velocity make with the road?Firefighters use a high-pressure hose to shoot a stream of water at a burning building. The water has a speed of 25.0 m/s as it leaves the end of the hose and then exhibits projectile motion. The firefighters adjust the angle of elevation a of the hose until the water takes 3.00 s to reach a building 45.0 m away. Ignore air resistance; assume that the end of the hose is at ground level. (a) Find a. (b) Find the speed and acceleration of the water at the highest point in its trajectory. (c) How high above the ground does the water strike the building, and how fast is it moving just before it hits the building?In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 15 ft/sec. If the shooting guard is to catch the ball at a height of 6.0 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 5.2' 35' 15 ft/sec B ft/sec O 14' C 6.0' V