Key Concept: Identifying periods of rest and calculating speed
a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
To determine if the courier-person cycled fastest between 10 a.m. and 11 a.m., we need to analyze the slope of the distance-time graph during this period. The steepest slope indicates the highest speed because speed is directly proportional to the slope of the distance-time graph.
Let’s assume the graph shows the following data points:
- At 10 a.m., the distance from the town was $d_1$ km.
- At 11 a.m., the distance from the town was $d_2$ km.
The speed between 10 a.m. and 11 a.m. can be calculated using the formula:
$\text{Speed} = \frac{d_2 - d_1}{1 \text{ hour}}$
If the slope is the steepest during this period, then the speed is the highest, which means the person cycled fastest between 10 a.m. and 11 a.m.
Therefore, both the Assertion and Reason are true, and the Reason correctly explains the Assertion.
Your Answer is correct.
a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
To determine if the courier-person cycled fastest between 10 a.m. and 11 a.m., we need to analyze the slope of the distance-time graph during this period. The steepest slope indicates the highest speed because speed is directly proportional to the slope of the distance-time graph.
Let’s assume the graph shows the following data points:
- At 10 a.m., the distance from the town was $d_1$ km.
- At 11 a.m., the distance from the town was $d_2$ km.
The speed between 10 a.m. and 11 a.m. can be calculated using the formula:
$\text{Speed} = \frac{d_2 - d_1}{1 \text{ hour}}$
If the slope is the steepest during this period, then the speed is the highest, which means the person cycled fastest between 10 a.m. and 11 a.m.
Therefore, both the Assertion and Reason are true, and the Reason correctly explains the Assertion.