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A spaceship traveling through deep space towards a space station and needs to ma

ID: 2117584 • Letter: A

Question

A spaceship traveling through deep space towards a space station and needs to make a course correction to go around a nebula. The captain orders the ship to travel 3.1x10^6 kilometers before turning 2.7x10^6 kilameters before assumng the path towards the space station. If the captain had not ordered a course correction, what would have been the magintude and direction of the path of the spaceship if it had traveled through the nebula? Please show your work!

Magnitude:___________________km

Direction:________________________ degrees counterclockwise from the +x-axis

Explanation / Answer

distance=((3.1*10^6)^2 + (2.7*10^6)^2)^0.5

=4.11*10^6 km (since the distances are perpendicular to each other)

direction=arctan(2.7/3.1)

=41.05 degrees

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