An object in rectilinear motion moves with velocity v. The table shows u (in meters per second) for selected times t, in seconds. 0 2 4 6 8 4 5 9 6 5 t v(t) (a) Find the Right Riemann sum for v on the interval [0, 8]. (Give your answer as a whole or exact number.) 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An object in rectilinear motion moves with velocity \( v \). The table shows \( v \) (in meters per second) for selected times \( t \), in seconds.

\[
\begin{array}{c|ccccc}
t & 0 & 2 & 4 & 6 & 8 \\
\hline
v(t) & 4 & 5 & 9 & 6 & 5 \\
\end{array}
\]

(a) Find the Right Riemann sum for \( v \) on the interval \([0, 8]\).

(Give your answer as a whole or exact number.)

\[
\sum_{i=1}^{4} v(t_i) \Delta t_i = \boxed{}
\]
Transcribed Image Text:An object in rectilinear motion moves with velocity \( v \). The table shows \( v \) (in meters per second) for selected times \( t \), in seconds. \[ \begin{array}{c|ccccc} t & 0 & 2 & 4 & 6 & 8 \\ \hline v(t) & 4 & 5 & 9 & 6 & 5 \\ \end{array} \] (a) Find the Right Riemann sum for \( v \) on the interval \([0, 8]\). (Give your answer as a whole or exact number.) \[ \sum_{i=1}^{4} v(t_i) \Delta t_i = \boxed{} \]
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