Amass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = - 41 sin it for t20. assume that the positive direction is upward and s(0) = 4. a. determine the position function for t20. b. graph the position function on the interval 0,3). c. at what times does the mass reach its lowest point the first three times? d. at what times does the mass reach its highest point the first three times?

Four point charges each having charge q are located at the corners of a square having sides of length a. find symbolic expressions for the following. (a) the total electric potential at the center of the square due to the four charges (use any variable or symbol stated above along with the following as necessary: ke.) vtotal= (b) the work required to bring a fifth charge p from infinity to the center of the square (use any variable or symbol stated above along with the following as necessary: w=