Spacecraft A is traveling at in the positive x-direction with respect to the Earth frame.An observer in Spacecraft C measures the velocity of Spacecraft A as .What is the speed of Spacecraft C with repect to the Earth's frame,assuming that A and C are moving along the same line of motion?

Question

Spacecraft A is traveling at  in the positive x-direction with respect to the Earth frame.An observer in Spacecraft C measures the velocity of Spacecraft A as  .What is the speed of Spacecraft C with repect to the Earth's frame,assuming that A and C are moving along the same line of motion?

Quizplus · Accepted Answer

We can use the relative velocity formula to find the velocity of spacecraft C with respect to the Earth's frame:

v_C/E = v_A/E - v_A/C

where v_A/E is the velocity of spacecraft A with respect to the Earth's frame, and v_A/C is the velocity of spacecraft A with respect to spacecraft C.

Plugging in the given values, we get:

v_C/E = 11eaa64f_8fa2_0ab2_a696_ad92499a8ad5_TB5258_11 - 11eaa64f_8fa2_31c3_a696_89f7401ef9b3_TB5258_11

Simplifying this expression, we get:

v_C/E = 11eaa64f_8fa2_58d4_a696_3f608f85fe63_TB5258_11

Therefore, the answer is choice C.

Spacecraft a Is Traveling at in the Positive X-Direction