Chapter 2, Problem 71A

To determine

To Plot: The given data on position-time graph.

To Find: The slope of the line and the car’s speed.

Answer to Problem 71A

  $v=\left(19.756\right)\text{m/s}$

Explanation of Solution

Given:

Table 2 of position-time.

Formula used:

Equation of the standard straight line which starts from origin

  $y=mx$

Where,

  $m$ is the slope

Calculation:

Graph for the given data can be drawn as:

  

From the graph, obtained equation which satisfies the straight line is:

  $y=\left(19.756\right)x$

Equation of the standard straight line which starts from origin

  $y=mx$

On comparing both the equations, slope of line can be given as:

  $m=\left(19.756\right)$

Speed of car = slope of the position - time graph

  $v=\left(19.756\right)\text{m/s}$

Conclusion:

  $v=\left(19.756\right)\text{m/s}$ is the slope of the graph and the speed of the car.