The force f acting on a body with mass m and velocity v is the rate of change of momentum: f − sdydtdsmvd. if m is constant, this becomes f − ma, where a − dvydt is the acceleration. but in the theory of relativity the mass of a particle varies with v as follows: m − m0ys1 2 v 2 yc 2 , where m0 is the mass of the particle at rest and c is the speed of light. show that f − m0a s1 2 v 2 yc 2 d 3y2

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.