1 ) A particle I moves according to a law of motion S = - t +3t - 3t m a ) Find the velocity when t= 2 sec. b) when is the particle at vest ? c ) Find the total distance traveled by the Particle during the first 3 seconds. d ) Find the acceleration at time t and at t= 1 sec. e) when is the particle speeding up ?12 ) A bacteria culture grows proportional to it's Size. The bacteria is initially bocells . a ) what is the number of cells after shrs if the bacterin increases to 100 cells after 2 hrs ! b) what is the vate of increase of the bacteria after shus ? 13 ) Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 9 cm