A. TRUE OR FALSE. Explain your answer in one sentence. 1. The special theory of relativity is based on inertial frame of reference. 2. If a flashlight is emitted in a running train, the speed of light will be greater than c. 3. Time dilation and length contraction is not observed if the speed of an object being observed is very slow compared to the speed of light because it is not happening at this speed. 4. The twin who travelled at a very fast speed will age slower than his twin brother. 5. A car that travels at 0.85c will appear longer than when measured at rest. B. PROBLEM SOLVING. State the given data and the unknown required to be solved. Show the solution and express your final answer with correct number of significant digits. 1. A certain particle has a lifetime of 1.00 x 107 s when measured at rest. (a) What is its lifetime when moving at 0.99c? (b) How far does it go before decaying? 2. A 28-year old woman whose daughter is only 4 years old leaves the Earth in a spacecraft that makes a round trip to the nearest star at a speed of 0.89c. To the woman's reckoning she returns after 20 years. (a) How old is the woman upon her return? When the mother reunites with her daughter upon her return (b) how old is her daughter as measured by an Earth's observer?

A. TRUE OR FALSE. Explain your answer in one sentence. 1. The special theory of relativity is based on inertial frame of reference. 2. If a flashlight is emitted in a running train, the speed of light will be greater than c. 3. Time dilation and length contraction is not observed if the speed of an object being observed is very slow compared to the speed of light because it is not happening at this speed. 4. The twin who travelled at a very fast speed will age slower than his twin brother. 5. A car that travels at 0.85c will appear longer than when measured at rest. B. PROBLEM SOLVING. State the given data and the unknown required to be solved. Show the solution and express your final answer with correct number of significant digits. 1. A certain particle has a lifetime of 1.00 x 107 s when measured at rest. (a) What is its lifetime when moving at 0.99c? (b) How far does it go before decaying? 2. A 28-year old woman whose daughter is only 4 years old leaves the Earth in a spacecraft that makes a round trip to the nearest star at a speed of 0.89c. To the woman's reckoning she returns after 20 years. (a) How old is the woman upon her return? When the mother reunites with her daughter upon her return (b) how old is her daughter as measured by an Earth's observer?