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1582 Answer Key
(a) 0.70 m/s faster
(b) Second runner wins (c) 4.17 m
56
,  58
(a)   ,  south of west
(b) The wind should make the plane travel slower and more to the south, which is what was calculated.
60
(a) 63.5 m/s
(b) 29.6 m/s
62
  ,  south of west 64
(a)    
(b) 20.2 billion years
66
  ,  north of east Test Prep for APĀ® Courses
1
(d)
3
We would need to know the horizontal and vertical positions of each ball at several times. From that data, we could deduce the velocities over several time intervals and also the accelerations (both horizontal and vertical) for each ball over several time intervals.
5
The graph of the ball's vertical velocity over time should begin at 4.90 m/s during the time interval 0 - 0.1 sec (there
should be a data point at t = 0.05 sec, v = 4.90 m/s). It should then have a slope of -9.8 m/s2, crossing through v = 0 at t = 0.55 sec and ending at v = -0.98 m/s at t = 0.65 sec.
The graph of the ball's horizontal velocity would be a constant positive value, a flat horizontal line at some positive velocity from t = 0 until t = 0.7 sec.
Chapter 4
Problems & Exercises
1
265 N
3
 
7
(a)   .
(b) The acceleration is not one-fourth of what it was with all rockets burning because the frictional force is still as large
as it was with all rockets burning.
9
(a) The system is the child in the wagon plus the wagon. (b
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