Chapter 2, Problem 4STP

To determine

To Choose:The correct option.

Answer to Problem 4STP

A correct answer is an option (B).

Explanation of Solution

Given:

From above graph, it is found that,

Distance travelled by the cyclist is $d=5\text{km}$ .

Initial speed of the cyclist is $0\text{km/h}$

Formula used:

The average speed is

  $s=\frac{d}{t}$  ...... (1)

Here, $d$ , $t$ are the distance and time taken to travel.

Calculation:

The speed of the cyclist is the maximum at a distance between 2 km and 3 km after starting of the journey. The graph indicates the speed is maximum ( $30\text{km/h}$ ) at this point of distance 2.25 km on x-axis. So the options (a), (C), and (D) are wrong.

The cyclist has maximum of $30\text{km/h}$ in the graph given above. So, option (B) is correct answer.

Conclusion:

Hence,the fastest speed that the cyclist travelled is $30\text{km/h}$ .