Chapter SH, Problem 1.9APP

To determine

To Calculate: The elapsed time between the two points.

Answer to Problem 1.9APP

The time elapsed between the points $(2,43)$ and $(5,68)$ is $25\text{ s}$ .

Explanation of Solution

Given data:

The x-axis of a certain graph is distance travelled in meters and the y-axis is time in seconds.

  $(2,43)$ and $(5,68)$ are two points on this graph.

Calculation:

As per the problem,

  $(2,43)$ and $(5,68)$ are two points on the graph, whose x-axis is distance travelled in meters and the y-axis is time in seconds.

Any point on x-y coordinate plane is written as $(x,y)$ .

As the y-axis of the graph represents the time in seconds, considering the y-coordinates of the two points

  $\begin{array}{l}{y}_1=43\text{ s}\\ y_2=68\text{ s}\end{array}$

Therefore, time elapsed between the two points

Time elapsed $=y_2-y_1=68\text{ s}-43\text{ s}=25\text{ s}$

Conclusion:

The time elapsed between the points $(2,43)$ and $(5,68)$ is $25\text{ s}$ .