Answer to Question #260860 in English for Zee

Question

A student went to test the motorbike one afternoon after class on the Parys Road. His velocity between two hills is listed in the table. The time is in seconds and the speed readings have been converted to m/s to ease calculations.

t(s) | 1 | 5 | 7 |

v(m/s)| 24 | 40 | 36 |

Determine an approximate value for the acceleration of the motorbike for t=3 seconds in the following ways

a) derivative of interpolation polynomial P₂(t) or N₂(t)

b) Derivative of cubic spline function S(t)

c) Three point difference formula

d) comparre your answers. which answer do you as the best approximation of the acceleration? Explain your answer.

e) Determine an approximate value for the distance (v(t)dt) the motorbike traveled for t[1;7] seconds

Answer 1

t(s) | 1 | 5 | 7 |

v(m/s)| 24 | 40 | 36 |

Best approximation for acceleration