A spacecraft with a proper length of 300 m passes by an observer on the Earth. According to this observer, it takes 0.750 x 10-6 sec for the spacecraft to pass a fixed point.  Determine the speed of the spacecraft as measure by the Earth-based observer. c = 3 x 108 m/s.

a. What is vav,x for the interval from t = 0 to t = 3.60 s? answer in m/s b. What is vav,x for the interval from t = 0 to t = 3.50 s? anser in m/s

When traveling past an observer with a relative speed v, a rocket is measured to be 9.00 m long. When the rocket moves with a relative speed 2v, its length is measured to be 4.90 m. Part A What is the speed v? v = VO ΑΣΦ ? Submit Request Answer ་ Part B What is the proper length of the rocket? C

An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves with a constant velocity, 74.0% of the speed of light. Its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. The batteries have a lifetime of 19.4 years as measured in a rest frame. Note that radio waves travel at the speed of light and fill the space between the probe and Earth at the time the battery fails. (a) How long do the batteries on the space probe last as measured by mission control on Earth? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) yr (b) How far is the probe from Earth when its batteries fail as measured by mission control? (Ignore the delay between the time the battery fails and the time mission control stops receiving the signal.) ly (c) How far is the probe from Earth as measured by its built-in trip odometer when its batteries fail? ly (d) For what total time…