The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained is 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 a) Use a central difference to approximate the runner's velocity at time t = 1.75s. Hint: f'(1.75) b) Use the below formula 3f(x,)-4ƒ(x, -h)+ f(x, – 2h) f'(x,) = 2h to approximate f"(2)

The distance x of a runner from a fixed point is measured (in metres) at intervals of half a second. The data obtained is 0.0 0.5 1.0 1.5 2.0 0.00 3.65 6.80 9.90 12.15 a) Use a central difference to approximate the runner's velocity at time t = 1.75s. Hint: f'(1.75) b) Use the below formula 3f(x,)-4ƒ(x, -h)+ f(x, – 2h) f'(x,) = 2h to approximate f"(2)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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