
Physics
1st Edition
ISBN: 9780133256925
Table of contents
Textbook solutions
All Solutions
Page 56: Practice Problems
Exercise 26
Step 1
1 of 3
$textbf{(a)}$ For the first $5 text{s}$, the float moves at a constant speed of $2 frac{text{m}}{text{s}}$ in a straight line. This corresponds to the first straight line slanting upwards in the position-time graph.
After that, the float comes to a $5 text{s}$ stop. Since the position doesn’t change with time, this segment is represented by a straight horizontal line.
Finally, the float starts moving at $1 frac{text{m}}{text{s}}$ in the initial direction, which corresponds to the second straight line slanting upwards.
Step 2
2 of 3
$textbf{(b)}$ To find the position of the float at a given time, find that value on the $x$ axis and trace from that point upward until you reach the straight line. From that point, trace sideways until you reach the $y$ axis.
At $t=2 text{s}$, the position of the float is
$$
begin{align*}
boxed{x_{2text{s}}=4 text{m}}\
end{align*}
$$
and at $t=11 text{s}$, the position of the float is
$$
begin{align*}
boxed{x_{11text{s}}=11 text{m}}\
end{align*}
$$
Result
3 of 3
$$
begin{align*}
textbf{(a)} quad & text{Click to see the graph.}\
\
textbf{(b)} quad &boxed{x_{2text{s}}=4 text{m}}\
&boxed{x_{11text{s}}=11 text{m}}\
end{align*}
$$
begin{align*}
textbf{(a)} quad & text{Click to see the graph.}\
\
textbf{(b)} quad &boxed{x_{2text{s}}=4 text{m}}\
&boxed{x_{11text{s}}=11 text{m}}\
end{align*}
$$
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