Partial answers to the related rates problems:

1. 0.534 ft/sec

2. 0.29 ft/sec

3. 0.47 ft/sec

4. 1.54 ft/sec

5. ??.72 km/hr

6. ??.46 km hr (moving further apart)

7. ??.69 km.hr

8. a. -0.07 ft/sec

c.- 0.67 ft/sec

9. -??.70 mi/hr

 

14. 0.12 in/min

15. a. 0.46 in/min

b. 0.92 in/min

c. 2.89 in/min

16. 753.?? in2/sec

17. hint: dV/dt = 5in3/sec so dr/dt = 0.04421 in/sec, and hence dA/dt= 3.?? in2/sec

18. a. 32 cm3/min

b. 0.016 cm/min

c. 0.32 cm/min

19. -0.03 cm/sec