Problem 3CQ

How would velocities add if the speed of light were infinitely large? Justify your answer by considering Equation 29–4.

Solution 3 CQ:

Step 1 of 1:-

Here, we have to explain how the velocities will add up if the speed of light is infinitely large.

The vacuum speed of light is constant for all observers, it’s a law we have not derived but we have experimentally seen.

If there is no limit for the speed of light, then the velocities can add up by the old Galilean addition rule.

Where is the speed of the object in frame, u is the speed of the frame with respect to frame and is the speed of the object in frame.

Directly we can add the velocities.

But the constraint on speed of light made the addition rule as given in equation 29.4.

No matter how fast you move, your speed according to any frame of reference cannot exceed the speed of light.