The position of a particle is defined by {r = 5*cos(2t) i + 4*sin(29 j, m), where t is in seconds and the arguments for the sine and cosine are given in radians. determine the magnitudes of the velocity of the particle when t=2 seconds. a)-8.20 m/sec b)-8.60 m/sec c)-9.00 m/sec d)-9.18 m/sec

The air in an automobile tire with a volume of 0.015 m3 is at 32°c and 140 kpa gage. determine the amount of air that must be added to raise the pressure to the recommended value of 206 kpa gage. assume the atmospheric pressure to be 128 kpa and the temperature and the volume to remain constant.[r-0.287 kj/kgk]