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Question 7 The table below gives the height of a rocket as a function o time,...
a.) The acceleration of a rocket fired vertically upwards t seconds after launch is 20+2t ms−2 (as a rocket burns fuel it becomes lighter, so accelerates more quickly). What is the second order differ...
a.) The acceleration of a rocket fired vertically upwards t seconds after launch is 20+2t ms−2 (as a rocket burns fuel it becomes lighter, so accelerates more quickly). What is the second order differential equation for the height of the rocket. h′′= b.) What is the general solution? (Please use A as the first constant of integration and B as the second): General solution: h = c.) Use the fact that at t = 0 the rocket was on the...
Use a quadratic function to model projectile motion Question A model rocket is launched directly upward...
Use a quadratic function to model projectile motion Question A model rocket is launched directly upward at a speed of 28 meters per second from a height of 12 meters. The function f(t) = -4.96 +28+12, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket hit the ground? Do not round until the final answer. Then round your answer to two decimal places. Provide...
Solve the following using the 5-step process. The function H(t) = -16+2 +240t + 1216 gives...
Solve the following using the 5-step process. The function H(t) = -16+2 +240t + 1216 gives the height (t), in feet, of a rocket t seconds after launching. The rocket is launched with an initial velocity 240 feet/sec from a hill that is 1216 feet high (a) How long does it take for the rocket to hit the ground? Instructions: Round your answer to the nearest whole number. When entering units, type the full word withou capitals, eg, feet, meters,...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is t...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
Question 24 1 pts Find the x- and y-intercepts of the parabola if they exist. y=...
Question 24 1 pts Find the x- and y-intercepts of the parabola if they exist. y= 22 +72 - 8 O2 - intercept (8,0) y-intercepts (0, -1) (0,8) Oz - intercept (8,0) y-intercepts (0, -8) (0,1) Ox-intercept (-1,0) (8,0) y-intercept (0,8) O2- intercepts (-8,0) (1,0) y-intercept (0,8) Question 25 1 pts A model rocket is launched from a raised platform at a speed of 112 feet per second. Its height in feet is given by h(t) = -16t² + 112+...
0, The height of an object, H, In fee is given in the graph after t...
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
part F and G The function describing the predicted velocity as a function of time, u(t),...
part F and G
The function describing the predicted velocity as a function of time, u(t), for a student-designed prototype two-stage model rocket a = 3.0 m/s. B = -24 m/s, and y = 54 m/s. Due to ignition rates of the fuel in the two stages and external forces acting on th minimum and a local maximum during the time interval. Part F Determine the times at which u(t) has a local minimum and maximum. Express your answer as...
Please answer the following physic questions. Thank you! 1. A dog sees a flowerpot sail up...
Please answer the following physic questions. Thank you! 1. A dog sees a flowerpot sail up and then back past a window 5.0 ft high. If the total time the pot is in sight is 1.0 seconds, find the height above the window that the pot rises. 2. An elevator ascends with an upward acceleration of 4.0 ft/s2. At the instant its upward speed is 8.0 ft/s, a loose bolt drops from the ceiling of the elevator 9.0 ft from...
Use a quadratic function to model projectile motion Question A model rocket is launched directly upward at a speed of 28 meters per second from a height of 12 meters. The function f(t) = -4.96 +28+12, models the relationship between the height of the rocket and the time after launch, t, in seconds. When, in seconds after launch, will the rocket hit the ground? Do not round until the final answer. Then round your answer to two decimal places. Provide...
Solve the following using the 5-step process. The function H(t) = -16+2 +240t + 1216 gives the height (t), in feet, of a rocket t seconds after launching. The rocket is launched with an initial velocity 240 feet/sec from a hill that is 1216 feet high (a) How long does it take for the rocket to hit the ground? Instructions: Round your answer to the nearest whole number. When entering units, type the full word withou capitals, eg, feet, meters,...
The height h (in feet) of an object falling from a tall building is given by the function h(t) 400 16, where t is the time elapsed in seconds (a) After how many seconds does the object strike the ground? (b) What is the average velocity of the object from t- o until it hits the ground? (c) Find the instantaneous velocity of the object after I second ft/sec Find the instantaneous velocity of the object after 2 seconds. ft/sec...
Question 24 1 pts Find the x- and y-intercepts of the parabola if they exist. y= 22 +72 - 8 O2 - intercept (8,0) y-intercepts (0, -1) (0,8) Oz - intercept (8,0) y-intercepts (0, -8) (0,1) Ox-intercept (-1,0) (8,0) y-intercept (0,8) O2- intercepts (-8,0) (1,0) y-intercept (0,8) Question 25 1 pts A model rocket is launched from a raised platform at a speed of 112 feet per second. Its height in feet is given by h(t) = -16t² + 112+...
0, The height of an object, H, In fee is given in the graph after t second have passed. In the graph the dependent variable is the height of the object in feet, and the independent variable is the number of seconds after it has been launched in the air. H(0) sentence that gives the real world meaning of the calculation) solve or evaluate and then write a complete H(t)-0 (solve or evaluate and then write a complete sentence that...
part F and G
The function describing the predicted velocity as a function of time, u(t), for a student-designed prototype two-stage model rocket a = 3.0 m/s. B = -24 m/s, and y = 54 m/s. Due to ignition rates of the fuel in the two stages and external forces acting on th minimum and a local maximum during the time interval. Part F Determine the times at which u(t) has a local minimum and maximum. Express your answer as...
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