Problem

A bicycle travels along a straight road where its velocity is described by the v-s graph....

A bicycle travels along a straight road where its velocity is described by the v-s graph. Construct the a-s graph for the same interval.

Solution 1

Step #1 of 3

Acceleration of the bicycle is expressed as

$a=\frac{v d v}{d s} \quad---(1)$

For $0 \leq t<40 \mathrm{~s}$ :

$v=0.5 \mathrm{~s}$

Accordingly, we have from (1)

$a=(0.25 s) \times \frac{d}{d s}(0.25 s)$

$a=(0.0625 s) \quad---(2)$

Step #2 of 3

$$ \begin{array}{l} \text { At } s=40 \mathrm{~s} \text { : We have from }(2) \\ \qquad \begin{array}{l} \left.a\right|_{\text {40s }}=(0.0625 \times 40) \\ \left.a\right|_{40 \mathrm{~s}}=2.5 \mathrm{~m} / \mathrm{s}^{2} \\ \left.a\right|_{40 \mathrm{~s}}=2.5 \mathrm{~m} / \mathrm{s}^{2} \rightarrow \end{array} \end{array} $$

Step #3 of 3

The graph is plotted based on the data is as shown below:

Add your Solution

Textbook Solutions and Answers Search

Solutions For Problems in Chapter 12

1FP
1P
2FP
2P
3FP
3P

4FP
4P
5FP
5P
6FP
6P

7FP
7P
8FP
8P
9FP
9P

A bicycle travels along a straight road where its velocity is described by the v-s graph....

Step-by-Step Solution