A 200 kg rocket in deep space moves with a velocity of (121 m/s)î + (38.0 m/s)ĵ. Suddenly, it explodes into three pieces, with the first (82 kg) moving at −(214 m/s)î + (266 m/s)ĵ and the second (54 kg) moving at (18.0 m/s)î − (80.0 m/s)ĵ. Find the velocity (in m/s) of the third piece. (Express your answer in vector form.)

Astone is dropped with no initial velocity from the top of a cliff and hits the ground a time of 3.9 s later. what is the height of the cliff, in units of meters? you may assume that air resistance is negligible. give the answer as a positive number question 15 a figure skater is rotating at a rate of 200 revolutions per minute. what is the angular speed, in units of rad/s? 200 o 20.9 12000 o 3.33

In which type of system is power held solely by the central government and not shared with regional governments? group of answer choices federal unitary confederate oligarchic

Asynthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. how is the standard deviation of the sample mean changed when the sample size is increased from n equals 8 to n equals 47