A vertical beam of power intensity P (in Watts/m2 ) passes downward through a particular substance. The rate at which P decreases with respect to the thickness t (in meters) through which the beam has passed is proportional to P(t). The power intensity P at the top of the substance is 3,000 W/m2 . The power intensity P at a depth of 2.00 meters below the surface is 600 W/m2 . What is the power intensity P at a depth of 1.25 meters below the surface

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.