Question 83 of 308
The displacement x versus time graph is shown below.
(A) The average velocity during 0 to 3 s is
(B) The average velocity during 3 to 5 s is
(C) The instantaneous velocity at is
(D) The average velocity during 5 to 7 s and instantaneous velocity at are equal
(E) The average velocity from to is zero
Choose the correct answer from the options given below:
Show answer and solution
Answer: (D) (B), (C), (E) only
$\begin{aligned}
& \langle\overrightarrow{\mathrm{v}}\rangle=\frac{\Delta \overrightarrow{\mathrm{s}}}{\Delta \mathrm{t}}=\frac{\mathrm{S}_{\mathrm{f}}-\mathrm{S}_{\mathrm{i}}}{\mathrm{t}_{\mathrm{f}}-\mathrm{t}_{\mathrm{i}}} \\
& \overrightarrow{\mathrm{v}}=\frac{\mathrm{ds}}{\mathrm{dt}}=\text { slope }
\end{aligned}$
(A) 0 to
(B) 0 to
(C) slope
(D) to
At
(E) to
& \langle\overrightarrow{\mathrm{v}}\rangle=\frac{\Delta \overrightarrow{\mathrm{s}}}{\Delta \mathrm{t}}=\frac{\mathrm{S}_{\mathrm{f}}-\mathrm{S}_{\mathrm{i}}}{\mathrm{t}_{\mathrm{f}}-\mathrm{t}_{\mathrm{i}}} \\
& \overrightarrow{\mathrm{v}}=\frac{\mathrm{ds}}{\mathrm{dt}}=\text { slope }
\end{aligned}$
(A) 0 to
(B) 0 to
(C) slope
(D) to
At
(E) to
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