Question

the distance covered and the time taken by a car are plotted in a graph. what is the slope of the line in the graph? a) 2.0 m/s b) 1.0 m/s c) 5.0 m/s d) 0.50 m/s

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line is given by \( m = \frac{\Delta y}{\Delta x} \), where \( \Delta y \) is the change in the y - axis (distance) and \( \Delta x \) is the change in the x - axis (time).

Step2: Select two points

We can take the points \((0,0)\) and \((5,10)\) from the graph (we could also use other points like \((10,20)\), \((15,30)\) etc.). Here, \( \Delta y=10 - 0 = 10\space m\) and \( \Delta x = 5-0=5\space s\).

Step3: Calculate the slope

Using the slope formula \( m=\frac{\Delta y}{\Delta x}=\frac{10}{5} = 2.0\space m/s\).

Answer:

A) 2.0 m/s