00:01
Hello, everyone.
00:02
In this problem, we're trying to find the velocity of a solar flare as seen by a spaceship traveling away from the solar flare.
00:12
So in the initial frame that we're looking at this thing, we're seeing that the spaceship is flying away for the sun at a speed of 0 .80 or 80 % of the speed of light and is being chased by a solar flare at 0 .90c, so 90 % of the speed of light.
00:31
The speed of light.
00:33
So then what we really want to do is we want to find the speed of the solar flare in the frame of the spaceship, which is itself moving at 80 % of the speed of light.
00:43
So how do we do that? right.
00:44
So we're going to use the lawrence transformation formula for finding the speed of something moving in a moving frame.
00:54
Right.
00:55
So because we're transforming into a moving frame, we're going to use the u prime formula.
01:00
So u prime is equal to the speed of the object whose speed we are interested in from the point of view of the moving frame minus the velocity or speed of the frame in which we're going to measure the new speed.
01:18
And that's divided by 1 minus v over c squared times u...