1. 4.87 km @ 209° from E;
23.3 m/s; 13.5 m/s @ 209°, solution
3. (18.0 t) i + (4.00 t - 4.90 t^2) j; (18.0) i + (4.00 -
9.80 t) j; -9.80 j;
(54.0 i - 32.1 j) m; (18.0 i -25.4 j)
m/s; (-9.80 j) m/s^2, solution
5. (2.00 i + 3.00 j) m/s^2; (3.00 t + t^2) i m,
(1.50 t^2 - 2.00 t) j m, solution
7. (0.800 i - 0.300 j) m/s^2; 339°; (360 i -
72.7 j) m, -15.2°, solution
9. 3.34 i m/s; -50.9°, solution
11. 20°; 3.05 s, solution
14. 0.600 m/s^2, solution
15. 53.1°, solution
16. 22.6 m; 52.3 m; 1.18 s, solution
19. it clears by 0.889
m; while descending, solution
21. d*tan(theta) -
(g*d^2)/(2vi^2*cos^2(theta)),
solution
25. 377 m/s^2, solution
27. 10.47 m/s; 219 m/s^2, solution
28. 0.186 rev/sec, solution
31. 1.48 m/s @ 29.9°
behind the radius, solution
33. 13.0 m/s^2; 5.70 m/s;
7.5 m/s^2, solution
35. see back of book;
29.7 m/s^2; 6.67 m/s @ 36.9° above horizontal, solution
36. 26.9 m/s; 67.3 m; (2i
- 5j) m/s^2, solution
37. 2.02 E 3 sec; 21.0%
longer, solution
38. 18.0 s, solution
40. Alan takes longer
than Beth (see proof), solution
43. 15.3 m, solution
61. 46.5 m/s; -77.6°; 6.34 s, solution
65. 20.0 m/s, 5.00
s; (16.0 i - 27.1 j) m/s; 6.54 s; (24.6 i) m, solution
67. 43.2 m; (9.66 i
- 25.5 j) m/s, solution
Problem Day Problems:
#1 0.425 s, 0.425 s, 82.7 ft, 4.79°, 193 MPH, solution
#2 6.325 m/s, 1.063 m below roof, 1.344 m/s up, 0.092 m yes, 9.00
m/s @ -45.4°, solution
#3 2.00 m/s^2, 3.464 m/s^2, 4.00 m/s^2, 6.59 s, solution
#4 23.96°, 26.33°, 3.94 min, 21.94°, solution