978-1-4730-0625-6 (.epub)

Multiple | Prefix | Symbol for prefix | Submultiple | Prefix | Symbol for prefix |
---|---|---|---|---|---|

10^{12} | tera | T | 10^{−3} | milli | m |

10^{9} | giga | G | 10^{−6} | micro | μ |

10^{6} | mega | M | 10^{−9} | nano | n |

10^{3} | kilo | k | 10^{−12} | pico | p |

10^{0} | 10^{−15} | femto | f |

t/s | x/m |
---|---|

0 | 0 |

5 | 1.7 |

10 | 6.8 |

15 | 15 |

20 | 26 |

25 | 39 |

30 | 53 |

35 | 68 |

40 | 84 |

45 | 99 |

50 | 115 |

55 | 131 |

60 | 146 |

t/s | x_{pol}/m | x_{get}/m |
---|---|---|

0 | −200 | 200 |

5 | −115 | 237 |

10 | −45 | 265 |

15 | 10 | 293 |

20 | 62 | 317 |

25 | 108 | 337 |

30 | 149 | 351 |

35 | 184 | 364 |

40 | 213 | 377 |

45 | 239 | 388 |

50 | 263 | 394 |

55 | 283 | 399 |

60 | 300 | 400 |

t/s | x_{ped}/m | x_{car}/m |
---|---|---|

0 | −20 | 30 |

10 | −10 | 60 |

20 | 0 | 90 |

30 | 10 | 120 |

40 | 20 | 150 |

50 | 30 | 180 |

60 | 40 | 210 |

t/s | (x_{car} − x_{ped})/m |
---|---|

0 | 50 |

10 | 70 |

20 | 90 |

30 | 110 |

40 | 130 |

50 | 150 |

60 | 170 |

Δ x=x_{2}−x_{1}.

x= −3000 m + 1198 m = − 1802 m.

x_{2}−x_{1}=v(_{x}t_{2}−t_{1}).

v× Δ_{x}t= (12 m s^{−1}) × (4 s) = 48 m.

(20 s) × (1 m s ^{−1}) + (20 s) × (10 m s^{−1}) = 220 m.

linear functions of the form | f(y) = Ay + B |

quadratic functions of the form | f(y) = Ay^{2} + By + C |

cubic functions of the form | f(y) = Ay^{3} + By^{2} + Cy + D. |

f(y) | Derivative | |
---|---|---|

v(3 s) = 2_{x}kt= 2 × (−5 m s^{−2}) × (3 s) = −30 m s^{−1}

x(t) =k_{0}+k_{1}t+k_{2}t^{2}

s= [(1/2) × (6 s − 2 s) × (6 m s^{−1}− 1.2 m s^{−1})] + [(6 s − 2 s) × 1.2 m s^{−1}] = 14.4 m

Location | g/m s^{−2} |
---|---|

North Pole | 9.83 |

London | 9.81 |

New York | 9.80 |

Equator | 9.78 |

Sydney | 9.80 |

h/km | P/Pa |
---|---|

0 | 101 325 |

5 | 48 586 |

10 | 23 297 |

15 | 11 171 |

20 | 5357 |

25 | 2569 |

30 | 1232 |

t/s | x/km |
---|---|

0 | 0 |

1 | 0.443 |

2 | 0.984 |

3 | 1.64 |

4 | 2.45 |

5 | 3.44 |

6 | 4.64 |

7 | 6.11 |

8 | 7.91 |

9 | 10.1 |

10 | 12.8 |

v _{ x }/m s^{−1} | t/s |
---|---|

4 | 0 |

−4 | 10 |

0 | 15 |

2 | 20 |

z= 3 + 2y+y^{3}.

u=_{x}v−_{x}a= (−50 + 1.6 × 50) m s_{x}t^{−1}= 30 m s^{−1}.

v(10 s) = (2 × 4.0 × 10) m s_{x}^{−1}= 80 m s^{−1}.

s= (1/2) × 2 × (20.0)_{x}^{2}m = 400 m.

v=_{x}u+_{x}a_{x}t

v= 0 + 2 × 20.0 m s_{x}^{−1}= 40.0 m s^{−1}.

Discussion 2018011700