Question
2 Khalid drives from his home to a hotel He drives for 2(1)/(2) hours at an average velocity of 60kmh^-1 He then stops for lunch before continuing to his hotel. The diagram shows a displacement-time graph for Khalid's journey. a Work out the displacement of the hotel from Khalid's home. b Work out Khalid's average velocity for his whole journey. Problem-solving You need to work out the scale on the vertical axis
Answer
4.1
(253 Votes)
Louie
Master · Tutor for 5 years
Answer
a. The displacement of the hotel from Khalid's home is
km.b. The average velocity for Khalid's whole journey depends on the total time taken for the journey, including the time spent for lunch, which is not given in the question. Once the total time is known, it can be substituted into the formula
to find the average velocity.
Explanation
## Step 1: Calculate the displacement from Khalid's home to the hotel.### The displacement can be calculated using the formula:
Given that Khalid drives for
hours at an average velocity of
, we can substitute these values into the formula to find the displacement.## Step 2: Calculate Khalid's average velocity for his whole journey.### The average velocity can be calculated using the formula:
Given that the total displacement is the distance from Khalid's home to the hotel (calculated in Step 1), and the total time includes the driving time and the time spent for lunch, we can substitute these values into the formula to find the average velocity.