An object moves on a trajectory given by bold r left parenthesis t right parenthesis equals left angle 10 cosine 6 t comma 10 sine 6 t right angle for 0 less than or equals t less than or equals pi. how far does it travel?

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.

If you wanted to move an electron from the positive to the negative terminal of the battery, how much work w would you need to do on the electron? enter your answer numerically in joules.

By what primary heat transfer mechanism does the sun warm the earth?