22. For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, what is the height from which it was launched (t=0)?
23.For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, how long after launch does it hit the ground?
24.For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, how long after launch does it reach its maximum height?
25.For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, what is the maximum height?
26.For the following equation of the path of a rocket h ( t ) = − 9.8 t 2 + 78.4 t + 196, where height, h, is measured in meters and time, t, is measured in seconds, how long after launch does it reach 196 meters?
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At a height h = 44.0 m above the ground a rocket is fired at an initial speed v0 = 168.0 m/s at an angle θ = 27 degrees above the horizontal. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as psotitive y-direction. Keep 2 decimal places in all answers (a) Find v0x, the x component of the initial velocity (in m/s) (b) Find v0y, the y component...
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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,...
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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...
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...
In MATLAB At time t=0 when a rocket's engine shuts down, the rocket has reached an altitude of 500 m and is rising at a velocity of 125 m/s. The height of the rocket as a function of time is 9.8 h(t)= t? +125t+500 for t > 0 2 Create a time array t from O sec to 30 sec with an increment of 1 sec and a corresponding array for the height h. Plot the height of the rocket...