An ant, crazed by the sun on a hot Texas afternoon, darts over an xy plane scrat

Question

An ant, crazed by the sun on a hot Texas afternoon, darts over anxy plane scratched in the dirt. The x andy components of four consecutive darts are the following,all in centimeters: (-90, 85), (bx, -85), (-90,cy), (-75,-85). The overall displacement of the fourdarts has the xy components (-300, -105). (a) What is bx? ________ cm

(b) What is cy? ______cm

(c) What are the magnitude and direction of the overalldisplacement? (a) What is bx? ________ cm

(b) What is cy? ______cm

(c) What are the magnitude and direction of the overalldisplacement?

Explanation / Answer

from above data    -90 +b x -90 -75 =-300                                                    b x = -45 cm                      85 -85 +cy -85 = -105                                         c y = - 20 cm Magnitude of displacement   = [ ( -300) ^ 2 +( -105) ^ 2 ]                                           = 317.844 cm Let the displacement makes an angle with x-axisthen tan = -105 / -300                                                                                           = 19.29 degrees

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