QUIZ 3

10. (a) These are the x and y components of the resultant of the three given vectors.  Rx = 24.0 and Ry =   11.6
(b) the magnitude of the resultant is 26.7 and the angle is 25.8 degrees. The resultant points in the first quadrant.
12. (a) x-component = -53.67, y-component = 1.31,  Magnitude = 53.7 .  The vector points in the second quadrant since the x-component is negative and the y-component is positive.   The related angle is 1.4 degrees.
(b) x-component = 53.67, y-component = -1.31,  Magnitude = 53.7 .  The vector points in the fourth quadrant since the x-component is positive and the y-component is negative.   The related angle is 1.4 degrees.
18.  44 m = height of cliff. The horizontal displacement (change in x) = 5.4 m.    
20. 5.2 m/s
22.  2.11 seconds.
24.  (a) V0 =  9.60 m/s  (b) new R  = 8.60 m, so there is an increase of 0.80 m, about 10 % increase.
64. change in x = 18.8 m, between 15.0 m and 22.0 m.