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Mathematics LibreTexts

A.4.3: Section 4.3 Answers

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1. v=3845(1e5t/12);3845ft/s

2. k=12;v=16(1e2t)

3. v=25(1et);25ft/s

4. v=2027et/40

5. 17.10 ft

6. v=40(13+3e4t/5)133e4t/5;40ft/s

7. v=128(1et/4)

9. T=mkln(1+v0kmg);ym=y0=mk[v0mglln(1+v0kmg)]

10. v=64(1et)1+et;64ft/s

11. v=αv0(1+eβt)α(1eβt)α(1+eβt)v0(1eβt);α where α=mgk and β=2kgm

12. T=mkgtan1(v0kmg)v=mgk;1e2akm(tT)1+e2akm(tT)

13. s=mgass+1;a0=mg

14. (a) ms=mgf(s)

15.

  1. v=9.8+v4/81
  2. vT5.308m/s

16.

  1. v=32+8|v|;vT=16 ft/s
  2. From Exercise 4.3.14
  3. vT is the negative number such that 32+8|vT|=0; thus, vT=16 ft/s

17. 6.76miles/s

18. 1.47miles/s

20. α=gR2(ym+R)2


This page titled A.4.3: Section 4.3 Answers is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench.

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