A space craft is out in deep space trying to dock with a space station. It moves

Q: A space craft is out in deep space trying to dock with a space station. It moves

v1 = V1*cos200 i + v1*sin200 j v1 = 55*cos200i + 55*sin200 j v2 = v2*cos70 i + v2*sin70 j v2 = 18*cos70i + 18*sin70 j v = v1 + v2 v = (55*cos200 + 18*cos70 )i + (55*sin200 + 18*sin70) j v = -45.3 i - 1.89 j speed = sqrt(45.5^2+1.89^2) = 45.53 m/s direction = tan^-1(1.89/45.3) = 202.4 degrees

ID: 1332831 • Letter: A

Question

A space craft is out in deep space trying to dock with a space station. It moves initially in the positive X-direction with a velocity relative to the station (at rest) 45 m/s. It fires its thrusters twice. The first time adds 55 m/s in the direction 200 degrees from the positive x-direction. The second boost adds 18 m/s, 70 degrees from the positive x-direction. what is the velocity of the space craft when it hits the docking point on the station? (velocities are vectors that can be drawn just like the displacements (suggested scale: 1 m/s=1mm))

Explanation / Answer

v1 = V1*cos200 i + v1*sin200 j

v1 = 55*cos200i + 55*sin200 j

v2 = v2*cos70 i + v2*sin70 j

v2 = 18*cos70i + 18*sin70 j

v = v1 + v2

v = (55*cos200 + 18*cos70 )i + (55*sin200 + 18*sin70) j

v = -45.3 i - 1.89 j

speed = sqrt(45.5^2+1.89^2) = 45.53 m/s

direction = tan^-1(1.89/45.3) = 202.4 degrees

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A space craft is out in deep space trying to dock with a space station. It moves

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