Jim Nazium is walking from lunch to his autoshop class. He exits the lunchroom and walks 62 m west. He then turns and walks 52 m north down the hallway leading to the
workshop. Determine the magnitude and direction of Jim's resultant displacement.
Hint: On your scratch paper, draw a diagram of your vectors. Use tip to tail method.
Draw a dotted line from where he started to where he finishes to make a triangle. Use
the Pythagorean theorem to solve and figure out the magnitude. To solve for the
direction, use the appropriate trig function.

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.