Vlad is trying to escape from Donald. Vlad\'s velocity, in mph, is (44.50) cap i
ID: 1600044 • Letter: V
Question
Vlad is trying to escape from Donald. Vlad's velocity, in mph, is (44.50) cap i +(-67.50) cap j, Donald's velocity, in mph, is (49.00) cap i +(23.50) cap j. Calculate Vlad's velocity relative to Donald. (b) Calculate Vlad's speed relative to Donald. Plot the time stretching factor, gamma = 1/squareroot 1 - v^2/c^2 as a function of v/c. The range of v/c is to be 0 to 0.999. The idea here is to plot an accurate graph. You can plug in numbers, or use Excel or Matlab. Plot at least 10 pairs of points and attach as a separate sheet. Alice leaves Earth and heads out into space at a speed of 0.97c. She travels for 15 months according to her clock. According to Bob, home on Earth, how long has she been gone?Explanation / Answer
1) a) Vlad's Velocity relative to Donald = Vlad's velcoity - Donald's Velocity
= 44.5i - 67.5 j - (49i + 23.5j)
= -4.5 i - 91 j
b) speed of vlad = sqrt(44.5^2 + 67.5^2 ) = 80.85
speed of donald = sqrt(49^2 + 23.5^2) = 54.34
vlad relative speed = (80.85 - 54.34) = 26.5 m/s
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