A horizontal spring has a mass attached that can move with negligible friction. You stretch the spring and release the mass from rest. For the resulting motion, which of the following statements are true?A) When the spring is (momentarily) fully compressed, K has its largest value. B) When the spring (momentarily) has its relaxed length, U has its largest value. C) When the spring (momentarily) has its relaxed length, K has its smallest value. D) When K is large, U is small, and vice versa. E) When K is large, U is large, and vice versa.

From negative to negative

Distance covered, s = 8ft - 4ft = 4 ftinitial velocity, u = 34 ft/sthe acrobat is moving upwards and therefore, a = -g = -9.81 m/s^2 = 32.19 ft/s^2applying equation of motion; s = ut -1/2gt^2then,4 = 34t -1/2*32.19t^24 = 34t - 16.095t^2rearranging; -16.095t^2 + 34t - 4 = 0solving the quadratic equation; t = {-34 +/- sqrt [34^2 - 4(-16.)]}/2(-16.095) = 1.06 +/- 0.93 = 0.13 or 1.99the acrobat will take 0.13 seconds to be at 8 ft above the ground. additionally, once at the maximum height, the acrobat will move down and be at the same spot (that is height) after 1.99 seconds moving down.

D. engine coolant temperature

The  asthenosphere  is now thought to play a critical role in the movement of plates across the face of earth's surface. according to plate tectonic theory, the lithosphere consists of a relatively small number of very large slabs of rocky material.