Jifunze kwa makini maelezo haya kisha jibu maswali yafuatayo: "Maisha yetu ni mfano wa mbegu iliyopandwa. Mbegu nyingi hufa kabla hazijatoa mazao, lakini baadhi hukua na kutuletea furaha na mafanikio, na baadhi hukua na kutuletea huzuni na aibu. Hivyo basi, kila mmoja anapaswa kufanya maandalizi ya kutosha ili mbegu yake iweze kuota na kutoa mazao yanayompendeza."

10 s

1(b)

Train 1: $v_1 = 54 \times \frac{5}{18} = 15~\mathrm{m/s}$

Train 2: $v_2 = 36 \times \frac{5}{18} = 10~\mathrm{m/s}$

14 s

1(c)

Train 1: $v_1 = 15~\mathrm{m/s}$

Train 2: $v_2 = 18 \times \frac{5}{18} = 5~\mathrm{m/s}$

40 s

2(a)

48 km/h

2(b)

40 km at $50~\mathrm{km/h}$.

Time $= \frac{40}{50} = 0.8~\mathrm{h}$.

60 km at $40~\mathrm{km/h}$.

Time $= \frac{60}{40} = 1.5~\mathrm{h}$.

Total time $= 0.8 + 1.5 = 2.3~\mathrm{h}$.

\dfrac{10000}{23} km/h

3(a)

Final speed $v = 0~\mathrm{m/s}$, $a = -10~\mathrm{m/s^2}$.

20 m

3(b)

100 m

3(c)

Time to pass man (point): $\frac{L}{v} = 18~\mathrm{s}$ $\Rightarrow L = 18v$.

$\frac{L + 100}{v} = 30~\mathrm{s}$.

$\frac{100}{v} = 12~\mathrm{s}$ $\Rightarrow v = \frac{100}{12}~\mathrm{m/s}$.

150 m, \dfrac{100}{12} m/s

3(d)

Max height $h = \frac{u^2}{2g}$.

20 m