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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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