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- A laptop is projected horizontally from the rooftop of a condominium 138 m high. The laptop hits the ground at a point 49 m horizontally away from and below the point of release. What is the speed of the laptop just before it strikes the ground? Use g=9.8 m/s2 . Round off answer up to two decimal places. Include units (abbreviation only).(a) Use the distance and velocity data in Figure 3.64 to find the rate of expansion as a function of distance. (b) If you extrapolate back in time, how long ago would all of the galaxies have been at approximately the same position? The two parts of this problem give you some idea of how the Hubble constant for universal expansion and the time back to the Big Bang are determined, respectively. Figure 3.64 Five galaxies on a straight line, showing their distances and velocities relative to the Milky Way (MW) Galaxy. The distances are in millions of light years (Mly), where a light year is the distance light travels in one year. The velocities are nearly proportional to the distances. The sizes of the galaxies are greatly exaggerated; an average galaxy is about 0.1 MlY across.Unreasonable Results Suppose you wish to shoot supplies straight up to astronauts in an orbit 36,000 km above the surface of the Earth. (a) At what velocity must the supplies be launched? (b) What is unreasonable about this velocity? (c) Is there a problem with the relative velocity between the supplies and the astronauts when the supplies reach their maximum height? (d) Is the premise unreasonable or is the available equation inapplicable? Explain your answer.
- A jet plane is observed 400ft above the ground and is flying 180 mph to the west. A man jumps out of the plane creating a projectile motion and recorded that he is descending at a constant velocity of 6 ft/s after he reached an observable distance from the ground. If the man is to reach the ground 37 seconds after his immediate jump off the plane, determine the range of the initial position of the plane to the target landing of the man in the ground. a) 601.29 ft b) 1111.31 ft c) 28.38 ft d) 1000.12 ftA ball is tossed at 30 m/s at an angle of 45 degrees. What is the maximum range of the ball and height if the ball was tossed initially from a height of 1.5m? Use g = 9.81 m/s2. Show complete solution with proper derivatives/integrals and units. Use 2 decimal places for final answers.Sam is in a hot air balloon that has just taken off and is now floating 7 meters above its launching point. Julia is standing on the ground, 7 meters away from the launching point. How far apart are Sam and Julia? If necessary, round to the nearest tenth.
- 1) An airplane is cruising at 350 km/h at an altitude of 4000 m. If the plane passes directly over an observer on the ground, how fast is the distance from the plane to the observer changing when it is 5000 m away from the observer? Topic: Tangent Lines, Normal Lines, and Rates of Change Thank you for the answer :)An airline passenger drops a coin while the plane is moving at 260 m/s. What is the velocity of the coin when it strikes the floor 1.50 m below its point of release: (a) Measured relative to the plane? (b) Measured relative to the Earth?3. A baseball is thrown upward from the top of Otto Hahn (which is 7 floors high) with an initial speed of 18 ft/s. Mr. Nakset who is on the 7 floor sees it pass by as it falls to the ground. If one floor is ten feet high and the eye level of Mr. Nakset is 5 feet from the floor, how many seconds have passed from when it was released to when Mr. Nakset saw it?
- While standing at the second floor balcony in an apartment building at 3 meters above the ground, Peter throws a tennis ball upward to Tom, who is standing at the seventh floor balcony at 12 meters above the ground. The velocity with which Peter throws the ball is equal to 17 m/s. Tom successfully catches the ball while it is still moving upward. What is the velocity magnitude of the ball when Tom catches it?3M- Please I want a solution of all sub-part questions in detail by typing them. ThanksA battleship simultaneously fires two shells at enemy ships, as shown above. To hit the nearby ship (A), it launches a shell from one gun with a speed of 55.0 m/s at an angle of 72.0o above the horizon. To hit the far ship (B), it launches a shell from another gun with a speed of 92.0 m/s at an angle of 31.0o above the horizon. How much time is there between when each ship is hit?