Three vectors , , and , each have a magnitude of 52.0 m and lie in an xy plane. their directions relative to the positive direction of the x axis are 29.0 ˚, 191 ˚, and 311 ˚, respectively. what are (a) the magnitude and (b) the angle of the vector (relative to the +x direction in the range of (-180°, 180° and (c) the magnitude and (d) the angle of in the range of (-180°, 180°)? what are (e) the magnitude and (f) the angle (in the range of (-180°, 180°)) of a fourth vector such that ?

Phagocytes contain digestive enzymes to facilitate the process of phagocytosis

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.

B. conditioned response