Numerical Methods20785 marksNumerical: Numerical differentiation velocityDivided difference table for derivatives
The table below gives the values of distance travelled by a car at various time intervals during the initial running. Estimate the velocity and acceleration at time t = 7 sec.
The table below gives the values of distance travelled by a car at various time intervals during the initial running. Estimate the velocity and acceleration at time t = 7 sec.
$$\begin{array}{|c|c|c|c|c|c|}\hline \text{Time (t sec)} & 5 & 6 & 7 & 8 & 9 \ \hline \text{Distance (s m)} & 10.0 & 14.5 & 19.5 & 25.5 & 32.0 \ \hline \end{array}$$
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Time $t$ (sec) 5 6 7 8 9 ------------------ Distance $s$ 10.0 14.5 19.5 25.5 32.0 - Uniform spacing $h = 1$ - Required: velocity $\frac{ds}{dt}$ and acceleration $\frac{d^2s}{dt^2}$ at $t = 7$ (The problem header mislabels the second row as "Temp"; from context these are distance values, and the ...