A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 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 4.3 m/s2 at 33° 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.) (a) What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.) (b) Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.) (c) At what altitude (in m) is the fighter 5.4 s after it leaves the deck of the aircraft carrier?
A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 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 4.3 m/s2 at 33° 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.) (a) What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.) (b) Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.) (c) At what altitude (in m) is the fighter 5.4 s after it leaves the deck of the aircraft carrier?
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Please answer question parts a, b, c, d, and e: A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97 m and a takeoff speed 72 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 4.3 m/s2 at 33° 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.)
(a)
What is the initial acceleration (in m/s2) of the F-35 on the deck of the aircraft carrier to make it airborne? (Enter the magnitude.)
(b)
Write the position (in m) and velocity (in m/s) of the F-35 in unit vector notation from the point it leaves the deck of the aircraft carrier. (Use the following as necessary: t.)
(c)
At what altitude (in m) is the fighter 5.4 s after it leaves the deck of the aircraft carrier?
(d)
What is its velocity and speed at this time? (Enter your answers in m/s.)
(e)
How far (in m) has it traveled horizontally?
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