As part of a circus performance, a man is attempting to throw a dart into an apple which is dropped from an overhead platform. Upon release of the apple, the man has a reflex delay of 155 milliseconds before throwing the dart. If the dart is released with a speed vo= 12 m/s, at what distance d below the platform should the man aim if the dart is to strike the apple before it hits the ground?
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- A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ) v(5.4 s)= ? m/s How far (in m) has it traveled horizontally?Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.A golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 17.0 m/s at an angle of 46.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands. V = i 18.38 m/s
- Asap plzzzzA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo= 13.0 m/s. The cliff is h = 47.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo = Yo= (b) What are the components of the initial velocity? Vox m/s m/s Voy Vx= (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) = m m X= (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) y =NASA launches a rocket at t = is given by h(t) = - 4.912 + 349t + 318. O seconds. Its height, in meters above sea-level, as a function of time Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
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- On a spacecraft, two engines are turned on for 908 s at a moment when the velocity of the craft has x and y components of v0x = 5150 m/s and v0y = 6290 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 2.85 x 106 m and y = 4.72 x 106 m. Find the (a) x and (b) y components of the craft's accelerationThe take off speed of a military aircraft from an aircraft carrier is approximately 170 mi/hr relative to the air. They acquire this speed through a combination of a catapult system present on the aircraft carrier and the aircraft's jet propulsion system. A common strategy is to head the carrier and the plane into the wind. If a plane is taking off from an aircraft carrier which is moving at 40 mi/hr into a 20 mi/hr headwind, then what speed relative to the deck of the aircraft carrier must it obtain to takeoff? Draw your vectors.(a) A soccer player kicks a rock horizontally off a 32 m high cliff into a pool of water. If the player hears the sound of the splash 2.72 s later, what was the initial speed given to the rock (in m/s)? Assume the speed of sound in air is 343 m/s. 24.27 x The time given in the problem can be divided into two intervals: the time for the rock to hit the water and the time for the sound to return to the kicker. m/s (b) What If? If the temperature near the cliff suddenly falls to 0°C, reducing the speed of sound to 331 m/s, what would the initial speed of the rock have to be (in m/s) for the soccer player to hear the sound of the splash 2.72 s after kicking the rock? 23.44 Enter a number. Need Help? Read It m/s Watch It