Answers to even problems: Chapter 4 - 8, 10, 12, 18, 30, 32, 34, 40, 42, 50

8. (a ) 62 degrees above the x-axis (b) 180 (cm)
10.
(a) answers in m/s
At t = 0 s: 2i + 4j
At t = 1 s: 2i + 2j
At t = 2 s: 2i + 0j
At t = 3 s: 2i - 2j
(b) g = 2.0 m/s2.
(c) 63.4 degrees above the positive x-axis.
12. (a) 0.0639 s  (b) 782 m/s 
18.
(a) 150i + 100j 
(b) The displacement vector makes an angle 56.3 degrees East of North or 33.6 degrees North of East.
30. Answers in rad/s2
Between 0 and 2 seconds:  -100,
Between 2 and 4 seconds: 0
Between 4 and 7 seconds:  50
Note: Beyond 7 seconds the angular acceleration is 0.
32. area under curve = (1/2)(2)(20) + (2)(20) = 60 radians. Thus # revs = 60/6.28  = 9.55 revs.
34.
ar = 2.7 m/s2 .
at = 1.27 m/s2 .
40. 15 and 75 degrees.
42.
(a) -80.8 m
(b) 34.4 (m)
(c) 50 m/s at an angle of 73 degrees below the axis. 
50. d = 3.71 (m)