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Vendy is traveling in ship H with v = 0.650c with respect to earth. Graham is tr

ID: 1619363 • Letter: V

Question

Vendy is traveling in ship H with v = 0.650c with respect to earth. Graham is traveling in ship G with v = 0.900c with respect to earth. Hendra leaves Vendy's ship on a shuttle craft traveling at v = 0.500c with respect to Vendy's ship H as shown below. a) Find the velocity (give v/c and direction) of the shuttle craft with respect to earth. Clearly show on the figure above each reference frame used. b) Find the velocity (give v/c and direction) of the shuttle craft with respect to ship G. Clearly show on the figure below each reference frame used.

Explanation / Answer

VH = 0.650 c
VG = 0.900 c
Vh = 0.500 c

Velocity wrt earth, = (0.650 c + 0.500 c) / (1 + 0.65*0.5)
Velocity wrt earth(v/c) = 0.868
Direction as mentioned in the diagram !!!

(b)
Velocity wrt G, = (0.900 c - 0.868 c) / (1 - 0.900*0.868)
Velocity wrt G, (v/c) = 0.146
Direction opposite to as mentioned in the diagram !!!