PROBLEM 3AAE

Lorentz contraction In relativity theory, the length of an object, say a rocket, appears to an observer to depend on the speed at which the object is traveling with respect to the observer. If the observer measures the rocket’s length L0 as at rest, then at speed v the length will appear to be This equation is the Lorentz contraction formula. Here, c is the speed of light in a vacuum, about 3 × 108 m/sec . What happens to L as v increases? Find Why was the left-hand limit needed?

Displacement, velocity and acceleration Ex. a particle moves back and forth along a straight line. Its displacement at time t ( t is in seconds, s(t)) is in feet is s(t)=t^3 12t^2 +36t a. What is the particle’s velocity at time t v(t) = s’(t) =3t^2 24t + 36 ft/sec b. When is the particle at rest Solve v(t)=...