Suppose the position of a runner was recorded every half second and the results are given in the following table. Units of distance are meters. t|0 .5 1.0 1.5 2.0 2.5 3.0 3.5 y | 0 .25 1 3 6 10 Using central differences everywhere possible, and a forward or backward difference where a central difference is not possible, calculate and plot the velocity and the acceleration of the runner as a function of time for t=0 to 6. You may do the calculations by hand or by MATLAB. Turn in your plots and calculations. 4.0 4.5 5.0 5.5 6.0 15 21 27 33 39 45 51

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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27.2 Suppose the position of a runner was recorded every half second and the results are given in the
following table. Units of distance are meters.
t |0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0
y | 0 .25 1 3 6
Using central differences everywhere possible, and a forward or backward difference where a central
difference is not possible, calculate and plot the velocity and the acceleration of the runner as a function
10 15 21 27 33 39 45 51
of time for t=0 to 6. You may do the calculations by hand or by MATLAB. Turn in your plots and
calculations.
Transcribed Image Text:27.2 Suppose the position of a runner was recorded every half second and the results are given in the following table. Units of distance are meters. t |0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 y | 0 .25 1 3 6 Using central differences everywhere possible, and a forward or backward difference where a central difference is not possible, calculate and plot the velocity and the acceleration of the runner as a function 10 15 21 27 33 39 45 51 of time for t=0 to 6. You may do the calculations by hand or by MATLAB. Turn in your plots and calculations.
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