Your lunar lander is descending toward the moon. At a certain moment, its veloci
ID: 1694949 • Letter: Y
Question
Your lunar lander is descending toward the moon. At a certain moment, its velocity is (10.0i -20.0j)m/s and its altitude is 50.0 m above the lunar soil. (take the x-axis to be parallel to the lunar surface and the y-axis to be perpendicular to the lunar surface.) At this moment you are precisely above the American flag planted by neil Armstrong and Buzz Aldrin.A) calculate the magnitude and direction of the constant acceleration that the spacecraft must have so it lands with precisely zero forward and vertical velocities.
B) How far from the historic flag did you land?
Explanation / Answer
The velocity of the lander v = 10i - 20j the altitude above lunar y = 50m then the velocity component along the horizontal is constant the vertical component of velocity changes so acceleration a = v^2/2g = - (20.0)^2 / 2(9.8) = - 40.816 m/s^2 (a) therefore the acceleration a = -40.816j magnitude = 40.816 m/s^2 direction is along y direction (b) the time taken to the floor t = -(20)/-40.816 = 0.49s therefore the distance x = 10*0.49 = 4.9m
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