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?

An engineer designs a roller coaster so that a car travels horizontally for 162 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. it then moves 127 ft at an angle of 46.0° below the horizontal. if we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Drag each tile to the correct box. tiles bra i sequence

Along the line connecting the two charges, at what distance from the charge q1 is the total electric field from the two charges zero? express your answer in terms of some or all of the variables s, q1, q2 and k =14ï€ïµ0. if your answer is difficult to enter, consider simplifying it, as it can be made relatively simple with some work.