Explore the fundamental concepts of Time Dilation and Length Contraction in this comprehensive 29-minute physics lesson. Delve into the Special Theory of Relativity, focusing on how time slows down and lengths contract for observers moving at speeds approaching that of light. Follow along as the time dilation formula is derived, including the Lorentz factor, and witness how this leads to the derivation of the length contraction formula. Gain a clear understanding of 'proper' time and 'proper' length, with emphasis on the importance of observer perspective. Apply your newfound knowledge by solving various time dilation and length contraction problems using the derived formulas.